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Finding the Third Proportional to 7,234.59 and 15,357.94

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Solution

The third proportional to 7,234.59 and 15,357.94 is: 32,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.59 : 15,357.94 = 15,357.94 : x
  2. Step 2: Convert to fraction form
    7,234.59/15,357.94 = 15,357.94/x
  3. Step 3: Cross multiply
    7,234.59x = 15,357.94 × 15,357.94
  4. Step 4: Simplify right side
    7,234.59x = 235,866,244.25
  5. Step 5: Solve for x
    x = 235,866,244.25/7,234.59
  6. Step 6: Final answer
    x = 32,602.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.