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Finding the Third Proportional to 8,173.13 and 9,505.69

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Solution

The third proportional to 8,173.13 and 9,505.69 is: 11,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.13 : 9,505.69 = 9,505.69 : x
  2. Step 2: Convert to fraction form
    8,173.13/9,505.69 = 9,505.69/x
  3. Step 3: Cross multiply
    8,173.13x = 9,505.69 × 9,505.69
  4. Step 4: Simplify right side
    8,173.13x = 90,358,094.85
  5. Step 5: Solve for x
    x = 90,358,094.85/8,173.13
  6. Step 6: Final answer
    x = 11,055.51

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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.