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Finding the Third Proportional to 7,555.13 and 8,734.13

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Solution

The third proportional to 7,555.13 and 8,734.13 is: 10,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.13 : 8,734.13 = 8,734.13 : x
  2. Step 2: Convert to fraction form
    7,555.13/8,734.13 = 8,734.13/x
  3. Step 3: Cross multiply
    7,555.13x = 8,734.13 × 8,734.13
  4. Step 4: Simplify right side
    7,555.13x = 76,284,939.52
  5. Step 5: Solve for x
    x = 76,284,939.52/7,555.13
  6. Step 6: Final answer
    x = 10,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.