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Finding the Third Proportional to 5,140.97 and 7,688.67

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Solution

The third proportional to 5,140.97 and 7,688.67 is: 11,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.97 : 7,688.67 = 7,688.67 : x
  2. Step 2: Convert to fraction form
    5,140.97/7,688.67 = 7,688.67/x
  3. Step 3: Cross multiply
    5,140.97x = 7,688.67 × 7,688.67
  4. Step 4: Simplify right side
    5,140.97x = 59,115,675.20
  5. Step 5: Solve for x
    x = 59,115,675.20/5,140.97
  6. Step 6: Final answer
    x = 11,498.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.