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Finding the Third Proportional to 10,585 and 22,576

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Solution

The third proportional to 10,585 and 22,576 is: 48,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585 : 22,576 = 22,576 : x
  2. Step 2: Convert to fraction form
    10,585/22,576 = 22,576/x
  3. Step 3: Cross multiply
    10,585x = 22,576 × 22,576
  4. Step 4: Simplify right side
    10,585x = 509,675,776
  5. Step 5: Solve for x
    x = 509,675,776/10,585
  6. Step 6: Final answer
    x = 48,150.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.