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Finding the Third Proportional to 15,842 and 34,952

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Solution

The third proportional to 15,842 and 34,952 is: 77,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842 : 34,952 = 34,952 : x
  2. Step 2: Convert to fraction form
    15,842/34,952 = 34,952/x
  3. Step 3: Cross multiply
    15,842x = 34,952 × 34,952
  4. Step 4: Simplify right side
    15,842x = 1,221,642,304
  5. Step 5: Solve for x
    x = 1,221,642,304/15,842
  6. Step 6: Final answer
    x = 77,114.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.