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Finding the Third Proportional to 15,631.88 and 34,228.41

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Solution

The third proportional to 15,631.88 and 34,228.41 is: 74,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,631.88 : 34,228.41 = 34,228.41 : x
  2. Step 2: Convert to fraction form
    15,631.88/34,228.41 = 34,228.41/x
  3. Step 3: Cross multiply
    15,631.88x = 34,228.41 × 34,228.41
  4. Step 4: Simplify right side
    15,631.88x = 1,171,583,794.42
  5. Step 5: Solve for x
    x = 1,171,583,794.42/15,631.88
  6. Step 6: Final answer
    x = 74,948.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.