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Finding the Third Proportional to 6,373.69 and 9,695.53

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Solution

The third proportional to 6,373.69 and 9,695.53 is: 14,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.69 : 9,695.53 = 9,695.53 : x
  2. Step 2: Convert to fraction form
    6,373.69/9,695.53 = 9,695.53/x
  3. Step 3: Cross multiply
    6,373.69x = 9,695.53 × 9,695.53
  4. Step 4: Simplify right side
    6,373.69x = 94,003,326.22
  5. Step 5: Solve for x
    x = 94,003,326.22/6,373.69
  6. Step 6: Final answer
    x = 14,748.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.