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Finding the Third Proportional to 19,591.88 and 29,797.88

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Solution

The third proportional to 19,591.88 and 29,797.88 is: 45,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.88 : 29,797.88 = 29,797.88 : x
  2. Step 2: Convert to fraction form
    19,591.88/29,797.88 = 29,797.88/x
  3. Step 3: Cross multiply
    19,591.88x = 29,797.88 × 29,797.88
  4. Step 4: Simplify right side
    19,591.88x = 887,913,354.52
  5. Step 5: Solve for x
    x = 887,913,354.52/19,591.88
  6. Step 6: Final answer
    x = 45,320.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.