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Finding the Third Proportional to 24,654 and 40,057

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Solution

The third proportional to 24,654 and 40,057 is: 65,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654 : 40,057 = 40,057 : x
  2. Step 2: Convert to fraction form
    24,654/40,057 = 40,057/x
  3. Step 3: Cross multiply
    24,654x = 40,057 × 40,057
  4. Step 4: Simplify right side
    24,654x = 1,604,563,249
  5. Step 5: Solve for x
    x = 1,604,563,249/24,654
  6. Step 6: Final answer
    x = 65,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.