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Finding the Third Proportional to 24,140 and 36,466

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Solution

The third proportional to 24,140 and 36,466 is: 55,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140 : 36,466 = 36,466 : x
  2. Step 2: Convert to fraction form
    24,140/36,466 = 36,466/x
  3. Step 3: Cross multiply
    24,140x = 36,466 × 36,466
  4. Step 4: Simplify right side
    24,140x = 1,329,769,156
  5. Step 5: Solve for x
    x = 1,329,769,156/24,140
  6. Step 6: Final answer
    x = 55,085.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.