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Finding the Third Proportional to 21,999.94 and 31,526.44

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Solution

The third proportional to 21,999.94 and 31,526.44 is: 45,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,999.94 : 31,526.44 = 31,526.44 : x
  2. Step 2: Convert to fraction form
    21,999.94/31,526.44 = 31,526.44/x
  3. Step 3: Cross multiply
    21,999.94x = 31,526.44 × 31,526.44
  4. Step 4: Simplify right side
    21,999.94x = 993,916,261.44
  5. Step 5: Solve for x
    x = 993,916,261.44/21,999.94
  6. Step 6: Final answer
    x = 45,178.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.