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Finding the Third Proportional to 2,100.68 and 4,545.93

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Solution

The third proportional to 2,100.68 and 4,545.93 is: 9,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.68 : 4,545.93 = 4,545.93 : x
  2. Step 2: Convert to fraction form
    2,100.68/4,545.93 = 4,545.93/x
  3. Step 3: Cross multiply
    2,100.68x = 4,545.93 × 4,545.93
  4. Step 4: Simplify right side
    2,100.68x = 20,665,454.53
  5. Step 5: Solve for x
    x = 20,665,454.53/2,100.68
  6. Step 6: Final answer
    x = 9,837.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.