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Finding the Third Proportional to 5,938.88 and 9,232.88

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Solution

The third proportional to 5,938.88 and 9,232.88 is: 14,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.88 : 9,232.88 = 9,232.88 : x
  2. Step 2: Convert to fraction form
    5,938.88/9,232.88 = 9,232.88/x
  3. Step 3: Cross multiply
    5,938.88x = 9,232.88 × 9,232.88
  4. Step 4: Simplify right side
    5,938.88x = 85,245,980.77
  5. Step 5: Solve for x
    x = 85,245,980.77/5,938.88
  6. Step 6: Final answer
    x = 14,353.89

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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.