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Finding the Third Proportional to 1,713.66 and 3,545.02

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Solution

The third proportional to 1,713.66 and 3,545.02 is: 7,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.66 : 3,545.02 = 3,545.02 : x
  2. Step 2: Convert to fraction form
    1,713.66/3,545.02 = 3,545.02/x
  3. Step 3: Cross multiply
    1,713.66x = 3,545.02 × 3,545.02
  4. Step 4: Simplify right side
    1,713.66x = 12,567,135.78
  5. Step 5: Solve for x
    x = 12,567,135.78/1,713.66
  6. Step 6: Final answer
    x = 7,333.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.