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Finding the Third Proportional to 6,752.34 and 10,221.66

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Solution

The third proportional to 6,752.34 and 10,221.66 is: 15,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.34 : 10,221.66 = 10,221.66 : x
  2. Step 2: Convert to fraction form
    6,752.34/10,221.66 = 10,221.66/x
  3. Step 3: Cross multiply
    6,752.34x = 10,221.66 × 10,221.66
  4. Step 4: Simplify right side
    6,752.34x = 104,482,256.49
  5. Step 5: Solve for x
    x = 104,482,256.49/6,752.34
  6. Step 6: Final answer
    x = 15,473.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.