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Finding the Third Proportional to 8,132.91 and 10,883.74

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Solution

The third proportional to 8,132.91 and 10,883.74 is: 14,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.91 : 10,883.74 = 10,883.74 : x
  2. Step 2: Convert to fraction form
    8,132.91/10,883.74 = 10,883.74/x
  3. Step 3: Cross multiply
    8,132.91x = 10,883.74 × 10,883.74
  4. Step 4: Simplify right side
    8,132.91x = 118,455,844.00
  5. Step 5: Solve for x
    x = 118,455,844.00/8,132.91
  6. Step 6: Final answer
    x = 14,565.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.