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Finding the Third Proportional to 12,357.56 and 19,150.80

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Solution

The third proportional to 12,357.56 and 19,150.80 is: 29,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.56 : 19,150.80 = 19,150.80 : x
  2. Step 2: Convert to fraction form
    12,357.56/19,150.80 = 19,150.80/x
  3. Step 3: Cross multiply
    12,357.56x = 19,150.80 × 19,150.80
  4. Step 4: Simplify right side
    12,357.56x = 366,753,320.18
  5. Step 5: Solve for x
    x = 366,753,320.18/12,357.56
  6. Step 6: Final answer
    x = 29,678.45

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Why These Related Problems?

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