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Finding the Third Proportional to 4,265.79 and 6,555.30

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Solution

The third proportional to 4,265.79 and 6,555.30 is: 10,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.79 : 6,555.30 = 6,555.30 : x
  2. Step 2: Convert to fraction form
    4,265.79/6,555.30 = 6,555.30/x
  3. Step 3: Cross multiply
    4,265.79x = 6,555.30 × 6,555.30
  4. Step 4: Simplify right side
    4,265.79x = 42,972,019.55
  5. Step 5: Solve for x
    x = 42,972,019.55/4,265.79
  6. Step 6: Final answer
    x = 10,073.64

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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.