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Finding the Third Proportional to 6,972.75 and 9,752.91

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Solution

The third proportional to 6,972.75 and 9,752.91 is: 13,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 9,752.91 = 9,752.91 : x
  2. Step 2: Convert to fraction form
    6,972.75/9,752.91 = 9,752.91/x
  3. Step 3: Cross multiply
    6,972.75x = 9,752.91 × 9,752.91
  4. Step 4: Simplify right side
    6,972.75x = 95,119,180.32
  5. Step 5: Solve for x
    x = 95,119,180.32/6,972.75
  6. Step 6: Final answer
    x = 13,641.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.