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Finding the Third Proportional to 12,357.84 and 19,151.16

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Solution

The third proportional to 12,357.84 and 19,151.16 is: 29,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.84 : 19,151.16 = 19,151.16 : x
  2. Step 2: Convert to fraction form
    12,357.84/19,151.16 = 19,151.16/x
  3. Step 3: Cross multiply
    12,357.84x = 19,151.16 × 19,151.16
  4. Step 4: Simplify right side
    12,357.84x = 366,766,785.71
  5. Step 5: Solve for x
    x = 366,766,785.71/12,357.84
  6. Step 6: Final answer
    x = 29,678.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.