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Finding the Third Proportional to 8,694 and 13,465

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Solution

The third proportional to 8,694 and 13,465 is: 20,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 13,465 = 13,465 : x
  2. Step 2: Convert to fraction form
    8,694/13,465 = 13,465/x
  3. Step 3: Cross multiply
    8,694x = 13,465 × 13,465
  4. Step 4: Simplify right side
    8,694x = 181,306,225
  5. Step 5: Solve for x
    x = 181,306,225/8,694
  6. Step 6: Final answer
    x = 20,854.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.