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Finding the Third Proportional to 8,585 and 9,413

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Solution

The third proportional to 8,585 and 9,413 is: 10,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585 : 9,413 = 9,413 : x
  2. Step 2: Convert to fraction form
    8,585/9,413 = 9,413/x
  3. Step 3: Cross multiply
    8,585x = 9,413 × 9,413
  4. Step 4: Simplify right side
    8,585x = 88,604,569
  5. Step 5: Solve for x
    x = 88,604,569/8,585
  6. Step 6: Final answer
    x = 10,320.86

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.