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Finding the Third Proportional to 7,493.13 and 8,191.76

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Solution

The third proportional to 7,493.13 and 8,191.76 is: 8,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.13 : 8,191.76 = 8,191.76 : x
  2. Step 2: Convert to fraction form
    7,493.13/8,191.76 = 8,191.76/x
  3. Step 3: Cross multiply
    7,493.13x = 8,191.76 × 8,191.76
  4. Step 4: Simplify right side
    7,493.13x = 67,104,896.06
  5. Step 5: Solve for x
    x = 67,104,896.06/7,493.13
  6. Step 6: Final answer
    x = 8,955.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.