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Finding the Third Proportional to 6,101.63 and 9,151.88

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Solution

The third proportional to 6,101.63 and 9,151.88 is: 13,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.63 : 9,151.88 = 9,151.88 : x
  2. Step 2: Convert to fraction form
    6,101.63/9,151.88 = 9,151.88/x
  3. Step 3: Cross multiply
    6,101.63x = 9,151.88 × 9,151.88
  4. Step 4: Simplify right side
    6,101.63x = 83,756,816.02
  5. Step 5: Solve for x
    x = 83,756,816.02/6,101.63
  6. Step 6: Final answer
    x = 13,726.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.