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Finding the Third Proportional to 24,725 and 36,808

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Solution

The third proportional to 24,725 and 36,808 is: 54,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725 : 36,808 = 36,808 : x
  2. Step 2: Convert to fraction form
    24,725/36,808 = 36,808/x
  3. Step 3: Cross multiply
    24,725x = 36,808 × 36,808
  4. Step 4: Simplify right side
    24,725x = 1,354,828,864
  5. Step 5: Solve for x
    x = 1,354,828,864/24,725
  6. Step 6: Final answer
    x = 54,795.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.