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Finding the Third Proportional to 2,427.47 and 5,201.16

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Solution

The third proportional to 2,427.47 and 5,201.16 is: 11,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.47 : 5,201.16 = 5,201.16 : x
  2. Step 2: Convert to fraction form
    2,427.47/5,201.16 = 5,201.16/x
  3. Step 3: Cross multiply
    2,427.47x = 5,201.16 × 5,201.16
  4. Step 4: Simplify right side
    2,427.47x = 27,052,026.34
  5. Step 5: Solve for x
    x = 27,052,026.34/2,427.47
  6. Step 6: Final answer
    x = 11,144.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.