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Finding the Third Proportional to 2,545.17 and 3,085.59

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Solution

The third proportional to 2,545.17 and 3,085.59 is: 3,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.17 : 3,085.59 = 3,085.59 : x
  2. Step 2: Convert to fraction form
    2,545.17/3,085.59 = 3,085.59/x
  3. Step 3: Cross multiply
    2,545.17x = 3,085.59 × 3,085.59
  4. Step 4: Simplify right side
    2,545.17x = 9,520,888.79
  5. Step 5: Solve for x
    x = 9,520,888.79/2,545.17
  6. Step 6: Final answer
    x = 3,740.76

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.