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Finding the Third Proportional to 42,631 and 64,540

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Solution

The third proportional to 42,631 and 64,540 is: 97,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,631 : 64,540 = 64,540 : x
  2. Step 2: Convert to fraction form
    42,631/64,540 = 64,540/x
  3. Step 3: Cross multiply
    42,631x = 64,540 × 64,540
  4. Step 4: Simplify right side
    42,631x = 4,165,411,600
  5. Step 5: Solve for x
    x = 4,165,411,600/42,631
  6. Step 6: Final answer
    x = 97,708.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.