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Finding the Third Proportional to 6,545.06 and 14,311.88

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Solution

The third proportional to 6,545.06 and 14,311.88 is: 31,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.06 : 14,311.88 = 14,311.88 : x
  2. Step 2: Convert to fraction form
    6,545.06/14,311.88 = 14,311.88/x
  3. Step 3: Cross multiply
    6,545.06x = 14,311.88 × 14,311.88
  4. Step 4: Simplify right side
    6,545.06x = 204,829,766.02
  5. Step 5: Solve for x
    x = 204,829,766.02/6,545.06
  6. Step 6: Final answer
    x = 31,295.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.