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Finding the Third Proportional to 10,587 and 22,767

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Solution

The third proportional to 10,587 and 22,767 is: 48,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587 : 22,767 = 22,767 : x
  2. Step 2: Convert to fraction form
    10,587/22,767 = 22,767/x
  3. Step 3: Cross multiply
    10,587x = 22,767 × 22,767
  4. Step 4: Simplify right side
    10,587x = 518,336,289
  5. Step 5: Solve for x
    x = 518,336,289/10,587
  6. Step 6: Final answer
    x = 48,959.69

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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.