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Finding the Third Proportional to 5,148.56 and 5,634.56

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Solution

The third proportional to 5,148.56 and 5,634.56 is: 6,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.56 : 5,634.56 = 5,634.56 : x
  2. Step 2: Convert to fraction form
    5,148.56/5,634.56 = 5,634.56/x
  3. Step 3: Cross multiply
    5,148.56x = 5,634.56 × 5,634.56
  4. Step 4: Simplify right side
    5,148.56x = 31,748,294.57
  5. Step 5: Solve for x
    x = 31,748,294.57/5,148.56
  6. Step 6: Final answer
    x = 6,166.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.