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Finding the Third Proportional to 24,516 and 38,841.75

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Solution

The third proportional to 24,516 and 38,841.75 is: 61,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516 : 38,841.75 = 38,841.75 : x
  2. Step 2: Convert to fraction form
    24,516/38,841.75 = 38,841.75/x
  3. Step 3: Cross multiply
    24,516x = 38,841.75 × 38,841.75
  4. Step 4: Simplify right side
    24,516x = 1,508,681,543.06
  5. Step 5: Solve for x
    x = 1,508,681,543.06/24,516
  6. Step 6: Final answer
    x = 61,538.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.