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Finding the Third Proportional to 14,560 and 15,802

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Solution

The third proportional to 14,560 and 15,802 is: 17,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 15,802 = 15,802 : x
  2. Step 2: Convert to fraction form
    14,560/15,802 = 15,802/x
  3. Step 3: Cross multiply
    14,560x = 15,802 × 15,802
  4. Step 4: Simplify right side
    14,560x = 249,703,204
  5. Step 5: Solve for x
    x = 249,703,204/14,560
  6. Step 6: Final answer
    x = 17,149.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.