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Finding the Third Proportional to 6,545.81 and 8,596.13

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Solution

The third proportional to 6,545.81 and 8,596.13 is: 11,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.81 : 8,596.13 = 8,596.13 : x
  2. Step 2: Convert to fraction form
    6,545.81/8,596.13 = 8,596.13/x
  3. Step 3: Cross multiply
    6,545.81x = 8,596.13 × 8,596.13
  4. Step 4: Simplify right side
    6,545.81x = 73,893,365.02
  5. Step 5: Solve for x
    x = 73,893,365.02/6,545.81
  6. Step 6: Final answer
    x = 11,288.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.