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Finding the Third Proportional to 7,891.17 and 12,113.93

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Solution

The third proportional to 7,891.17 and 12,113.93 is: 18,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.17 : 12,113.93 = 12,113.93 : x
  2. Step 2: Convert to fraction form
    7,891.17/12,113.93 = 12,113.93/x
  3. Step 3: Cross multiply
    7,891.17x = 12,113.93 × 12,113.93
  4. Step 4: Simplify right side
    7,891.17x = 146,747,292.47
  5. Step 5: Solve for x
    x = 146,747,292.47/7,891.17
  6. Step 6: Final answer
    x = 18,596.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.