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Finding the Third Proportional to 7,657.88 and 8,947.13

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Solution

The third proportional to 7,657.88 and 8,947.13 is: 10,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.88 : 8,947.13 = 8,947.13 : x
  2. Step 2: Convert to fraction form
    7,657.88/8,947.13 = 8,947.13/x
  3. Step 3: Cross multiply
    7,657.88x = 8,947.13 × 8,947.13
  4. Step 4: Simplify right side
    7,657.88x = 80,051,045.77
  5. Step 5: Solve for x
    x = 80,051,045.77/7,657.88
  6. Step 6: Final answer
    x = 10,453.43

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.