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Finding the Third Proportional to 8,070.75 and 11,842.88

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Solution

The third proportional to 8,070.75 and 11,842.88 is: 17,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.75 : 11,842.88 = 11,842.88 : x
  2. Step 2: Convert to fraction form
    8,070.75/11,842.88 = 11,842.88/x
  3. Step 3: Cross multiply
    8,070.75x = 11,842.88 × 11,842.88
  4. Step 4: Simplify right side
    8,070.75x = 140,253,688.27
  5. Step 5: Solve for x
    x = 140,253,688.27/8,070.75
  6. Step 6: Final answer
    x = 17,378.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.