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Finding the Third Proportional to 21,463.13 and 31,487.06

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Solution

The third proportional to 21,463.13 and 31,487.06 is: 46,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.13 : 31,487.06 = 31,487.06 : x
  2. Step 2: Convert to fraction form
    21,463.13/31,487.06 = 31,487.06/x
  3. Step 3: Cross multiply
    21,463.13x = 31,487.06 × 31,487.06
  4. Step 4: Simplify right side
    21,463.13x = 991,435,104.88
  5. Step 5: Solve for x
    x = 991,435,104.88/21,463.13
  6. Step 6: Final answer
    x = 46,192.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.