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Finding the Third Proportional to 22,194 and 32,977.13

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Solution

The third proportional to 22,194 and 32,977.13 is: 48,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194 : 32,977.13 = 32,977.13 : x
  2. Step 2: Convert to fraction form
    22,194/32,977.13 = 32,977.13/x
  3. Step 3: Cross multiply
    22,194x = 32,977.13 × 32,977.13
  4. Step 4: Simplify right side
    22,194x = 1,087,490,773.27
  5. Step 5: Solve for x
    x = 1,087,490,773.27/22,194
  6. Step 6: Final answer
    x = 48,999.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.