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Finding the Third Proportional to 10,542.38 and 22,988.25

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Solution

The third proportional to 10,542.38 and 22,988.25 is: 50,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.38 : 22,988.25 = 22,988.25 : x
  2. Step 2: Convert to fraction form
    10,542.38/22,988.25 = 22,988.25/x
  3. Step 3: Cross multiply
    10,542.38x = 22,988.25 × 22,988.25
  4. Step 4: Simplify right side
    10,542.38x = 528,459,638.06
  5. Step 5: Solve for x
    x = 528,459,638.06/10,542.38
  6. Step 6: Final answer
    x = 50,127.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.