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Finding the Third Proportional to 28,656 and 61,545

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Solution

The third proportional to 28,656 and 61,545 is: 132,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,656 : 61,545 = 61,545 : x
  2. Step 2: Convert to fraction form
    28,656/61,545 = 61,545/x
  3. Step 3: Cross multiply
    28,656x = 61,545 × 61,545
  4. Step 4: Simplify right side
    28,656x = 3,787,787,025
  5. Step 5: Solve for x
    x = 3,787,787,025/28,656
  6. Step 6: Final answer
    x = 132,181.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.