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Finding the Third Proportional to 10,582 and 22,758

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Solution

The third proportional to 10,582 and 22,758 is: 48,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582 : 22,758 = 22,758 : x
  2. Step 2: Convert to fraction form
    10,582/22,758 = 22,758/x
  3. Step 3: Cross multiply
    10,582x = 22,758 × 22,758
  4. Step 4: Simplify right side
    10,582x = 517,926,564
  5. Step 5: Solve for x
    x = 517,926,564/10,582
  6. Step 6: Final answer
    x = 48,944.11

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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.