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Finding the Third Proportional to 7,648.38 and 15,708.50

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Solution

The third proportional to 7,648.38 and 15,708.50 is: 32,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.38 : 15,708.50 = 15,708.50 : x
  2. Step 2: Convert to fraction form
    7,648.38/15,708.50 = 15,708.50/x
  3. Step 3: Cross multiply
    7,648.38x = 15,708.50 × 15,708.50
  4. Step 4: Simplify right side
    7,648.38x = 246,756,972.25
  5. Step 5: Solve for x
    x = 246,756,972.25/7,648.38
  6. Step 6: Final answer
    x = 32,262.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.