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Finding the Third Proportional to 24,304 and 31,057

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Solution

The third proportional to 24,304 and 31,057 is: 39,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,304 : 31,057 = 31,057 : x
  2. Step 2: Convert to fraction form
    24,304/31,057 = 31,057/x
  3. Step 3: Cross multiply
    24,304x = 31,057 × 31,057
  4. Step 4: Simplify right side
    24,304x = 964,537,249
  5. Step 5: Solve for x
    x = 964,537,249/24,304
  6. Step 6: Final answer
    x = 39,686.36

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.