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Finding the Third Proportional to 6,184.13 and 9,655.88

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Solution

The third proportional to 6,184.13 and 9,655.88 is: 15,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.13 : 9,655.88 = 9,655.88 : x
  2. Step 2: Convert to fraction form
    6,184.13/9,655.88 = 9,655.88/x
  3. Step 3: Cross multiply
    6,184.13x = 9,655.88 × 9,655.88
  4. Step 4: Simplify right side
    6,184.13x = 93,235,922.02
  5. Step 5: Solve for x
    x = 93,235,922.02/6,184.13
  6. Step 6: Final answer
    x = 15,076.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.