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Finding the Third Proportional to 31,304 and 42,636

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Solution

The third proportional to 31,304 and 42,636 is: 58,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304 : 42,636 = 42,636 : x
  2. Step 2: Convert to fraction form
    31,304/42,636 = 42,636/x
  3. Step 3: Cross multiply
    31,304x = 42,636 × 42,636
  4. Step 4: Simplify right side
    31,304x = 1,817,828,496
  5. Step 5: Solve for x
    x = 1,817,828,496/31,304
  6. Step 6: Final answer
    x = 58,070.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.