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Finding the Third Proportional to 6,972.75 and 9,752.25

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Solution

The third proportional to 6,972.75 and 9,752.25 is: 13,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 9,752.25 = 9,752.25 : x
  2. Step 2: Convert to fraction form
    6,972.75/9,752.25 = 9,752.25/x
  3. Step 3: Cross multiply
    6,972.75x = 9,752.25 × 9,752.25
  4. Step 4: Simplify right side
    6,972.75x = 95,106,380.06
  5. Step 5: Solve for x
    x = 95,106,380.06/6,972.75
  6. Step 6: Final answer
    x = 13,639.72

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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.