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Finding the Third Proportional to 5,657.06 and 9,052.88

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Solution

The third proportional to 5,657.06 and 9,052.88 is: 14,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.06 : 9,052.88 = 9,052.88 : x
  2. Step 2: Convert to fraction form
    5,657.06/9,052.88 = 9,052.88/x
  3. Step 3: Cross multiply
    5,657.06x = 9,052.88 × 9,052.88
  4. Step 4: Simplify right side
    5,657.06x = 81,954,545.77
  5. Step 5: Solve for x
    x = 81,954,545.77/5,657.06
  6. Step 6: Final answer
    x = 14,487.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.