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Finding the Third Proportional to 24,358 and 36,541

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Solution

The third proportional to 24,358 and 36,541 is: 54,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358 : 36,541 = 36,541 : x
  2. Step 2: Convert to fraction form
    24,358/36,541 = 36,541/x
  3. Step 3: Cross multiply
    24,358x = 36,541 × 36,541
  4. Step 4: Simplify right side
    24,358x = 1,335,244,681
  5. Step 5: Solve for x
    x = 1,335,244,681/24,358
  6. Step 6: Final answer
    x = 54,817.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.