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Finding the Third Proportional to 2,545.17 and 6,859.69

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Solution

The third proportional to 2,545.17 and 6,859.69 is: 18,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.17 : 6,859.69 = 6,859.69 : x
  2. Step 2: Convert to fraction form
    2,545.17/6,859.69 = 6,859.69/x
  3. Step 3: Cross multiply
    2,545.17x = 6,859.69 × 6,859.69
  4. Step 4: Simplify right side
    2,545.17x = 47,055,312.60
  5. Step 5: Solve for x
    x = 47,055,312.60/2,545.17
  6. Step 6: Final answer
    x = 18,488.07

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.