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Finding the Third Proportional to 21,998.95 and 32,999.06

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Solution

The third proportional to 21,998.95 and 32,999.06 is: 49,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.95 : 32,999.06 = 32,999.06 : x
  2. Step 2: Convert to fraction form
    21,998.95/32,999.06 = 32,999.06/x
  3. Step 3: Cross multiply
    21,998.95x = 32,999.06 × 32,999.06
  4. Step 4: Simplify right side
    21,998.95x = 1,088,938,125.88
  5. Step 5: Solve for x
    x = 1,088,938,125.88/21,998.95
  6. Step 6: Final answer
    x = 49,499.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.