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Finding the Third Proportional to 2,534.06 and 4,047.47

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Solution

The third proportional to 2,534.06 and 4,047.47 is: 6,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.06 : 4,047.47 = 4,047.47 : x
  2. Step 2: Convert to fraction form
    2,534.06/4,047.47 = 4,047.47/x
  3. Step 3: Cross multiply
    2,534.06x = 4,047.47 × 4,047.47
  4. Step 4: Simplify right side
    2,534.06x = 16,382,003.28
  5. Step 5: Solve for x
    x = 16,382,003.28/2,534.06
  6. Step 6: Final answer
    x = 6,464.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.