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Finding the Third Proportional to 24,746 and 36,654

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Solution

The third proportional to 24,746 and 36,654 is: 54,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746 : 36,654 = 36,654 : x
  2. Step 2: Convert to fraction form
    24,746/36,654 = 36,654/x
  3. Step 3: Cross multiply
    24,746x = 36,654 × 36,654
  4. Step 4: Simplify right side
    24,746x = 1,343,515,716
  5. Step 5: Solve for x
    x = 1,343,515,716/24,746
  6. Step 6: Final answer
    x = 54,292.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.