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Finding the Third Proportional to 8,023.50 and 9,117

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Solution

The third proportional to 8,023.50 and 9,117 is: 10,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.50 : 9,117 = 9,117 : x
  2. Step 2: Convert to fraction form
    8,023.50/9,117 = 9,117/x
  3. Step 3: Cross multiply
    8,023.50x = 9,117 × 9,117
  4. Step 4: Simplify right side
    8,023.50x = 83,119,689
  5. Step 5: Solve for x
    x = 83,119,689/8,023.50
  6. Step 6: Final answer
    x = 10,359.53

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.