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Finding the Third Proportional to 24,243 and 35,566

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Solution

The third proportional to 24,243 and 35,566 is: 52,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 35,566 = 35,566 : x
  2. Step 2: Convert to fraction form
    24,243/35,566 = 35,566/x
  3. Step 3: Cross multiply
    24,243x = 35,566 × 35,566
  4. Step 4: Simplify right side
    24,243x = 1,264,940,356
  5. Step 5: Solve for x
    x = 1,264,940,356/24,243
  6. Step 6: Final answer
    x = 52,177.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.