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Finding the Third Proportional to 24,516 and 28,513.69

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Solution

The third proportional to 24,516 and 28,513.69 is: 33,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516 : 28,513.69 = 28,513.69 : x
  2. Step 2: Convert to fraction form
    24,516/28,513.69 = 28,513.69/x
  3. Step 3: Cross multiply
    24,516x = 28,513.69 × 28,513.69
  4. Step 4: Simplify right side
    24,516x = 813,030,374.85
  5. Step 5: Solve for x
    x = 813,030,374.85/24,516
  6. Step 6: Final answer
    x = 33,163.26

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.