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Finding the Third Proportional to 4,587 and 10,617

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Solution

The third proportional to 4,587 and 10,617 is: 24,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 10,617 = 10,617 : x
  2. Step 2: Convert to fraction form
    4,587/10,617 = 10,617/x
  3. Step 3: Cross multiply
    4,587x = 10,617 × 10,617
  4. Step 4: Simplify right side
    4,587x = 112,720,689
  5. Step 5: Solve for x
    x = 112,720,689/4,587
  6. Step 6: Final answer
    x = 24,573.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.