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Finding the Third Proportional to 5,560.52 and 6,152.84

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Solution

The third proportional to 5,560.52 and 6,152.84 is: 6,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560.52 : 6,152.84 = 6,152.84 : x
  2. Step 2: Convert to fraction form
    5,560.52/6,152.84 = 6,152.84/x
  3. Step 3: Cross multiply
    5,560.52x = 6,152.84 × 6,152.84
  4. Step 4: Simplify right side
    5,560.52x = 37,857,390.07
  5. Step 5: Solve for x
    x = 37,857,390.07/5,560.52
  6. Step 6: Final answer
    x = 6,808.24

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.