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Finding the Third Proportional to 4,969.13 and 7,657.88

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Solution

The third proportional to 4,969.13 and 7,657.88 is: 11,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.13 : 7,657.88 = 7,657.88 : x
  2. Step 2: Convert to fraction form
    4,969.13/7,657.88 = 7,657.88/x
  3. Step 3: Cross multiply
    4,969.13x = 7,657.88 × 7,657.88
  4. Step 4: Simplify right side
    4,969.13x = 58,643,049.52
  5. Step 5: Solve for x
    x = 58,643,049.52/4,969.13
  6. Step 6: Final answer
    x = 11,801.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.