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Finding the Third Proportional to 7,549.88 and 8,938.69

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Solution

The third proportional to 7,549.88 and 8,938.69 is: 10,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.88 : 8,938.69 = 8,938.69 : x
  2. Step 2: Convert to fraction form
    7,549.88/8,938.69 = 8,938.69/x
  3. Step 3: Cross multiply
    7,549.88x = 8,938.69 × 8,938.69
  4. Step 4: Simplify right side
    7,549.88x = 79,900,134.22
  5. Step 5: Solve for x
    x = 79,900,134.22/7,549.88
  6. Step 6: Final answer
    x = 10,582.97

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.