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Finding the Third Proportional to 5,689.62 and 12,417.21

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Solution

The third proportional to 5,689.62 and 12,417.21 is: 27,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.62 : 12,417.21 = 12,417.21 : x
  2. Step 2: Convert to fraction form
    5,689.62/12,417.21 = 12,417.21/x
  3. Step 3: Cross multiply
    5,689.62x = 12,417.21 × 12,417.21
  4. Step 4: Simplify right side
    5,689.62x = 154,186,981.95
  5. Step 5: Solve for x
    x = 154,186,981.95/5,689.62
  6. Step 6: Final answer
    x = 27,099.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.