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Finding the Third Proportional to 24,650 and 52,708

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Solution

The third proportional to 24,650 and 52,708 is: 112,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 52,708 = 52,708 : x
  2. Step 2: Convert to fraction form
    24,650/52,708 = 52,708/x
  3. Step 3: Cross multiply
    24,650x = 52,708 × 52,708
  4. Step 4: Simplify right side
    24,650x = 2,778,133,264
  5. Step 5: Solve for x
    x = 2,778,133,264/24,650
  6. Step 6: Final answer
    x = 112,703.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.