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Finding the Third Proportional to 6,139.55 and 9,421.95

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Solution

The third proportional to 6,139.55 and 9,421.95 is: 14,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.55 : 9,421.95 = 9,421.95 : x
  2. Step 2: Convert to fraction form
    6,139.55/9,421.95 = 9,421.95/x
  3. Step 3: Cross multiply
    6,139.55x = 9,421.95 × 9,421.95
  4. Step 4: Simplify right side
    6,139.55x = 88,773,053.47
  5. Step 5: Solve for x
    x = 88,773,053.47/6,139.55
  6. Step 6: Final answer
    x = 14,459.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.