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Finding the Third Proportional to 5,364.56 and 6,255.56

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Solution

The third proportional to 5,364.56 and 6,255.56 is: 7,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.56 : 6,255.56 = 6,255.56 : x
  2. Step 2: Convert to fraction form
    5,364.56/6,255.56 = 6,255.56/x
  3. Step 3: Cross multiply
    5,364.56x = 6,255.56 × 6,255.56
  4. Step 4: Simplify right side
    5,364.56x = 39,132,062.19
  5. Step 5: Solve for x
    x = 39,132,062.19/5,364.56
  6. Step 6: Final answer
    x = 7,294.55

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.