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Finding the Third Proportional to 6,972.66 and 9,752.63

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Solution

The third proportional to 6,972.66 and 9,752.63 is: 13,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.66 : 9,752.63 = 9,752.63 : x
  2. Step 2: Convert to fraction form
    6,972.66/9,752.63 = 9,752.63/x
  3. Step 3: Cross multiply
    6,972.66x = 9,752.63 × 9,752.63
  4. Step 4: Simplify right side
    6,972.66x = 95,113,694.39
  5. Step 5: Solve for x
    x = 95,113,694.39/6,972.66
  6. Step 6: Final answer
    x = 13,640.96

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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.