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Finding the Third Proportional to 2,358.42 and 5,101.31

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Solution

The third proportional to 2,358.42 and 5,101.31 is: 11,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.42 : 5,101.31 = 5,101.31 : x
  2. Step 2: Convert to fraction form
    2,358.42/5,101.31 = 5,101.31/x
  3. Step 3: Cross multiply
    2,358.42x = 5,101.31 × 5,101.31
  4. Step 4: Simplify right side
    2,358.42x = 26,023,389.22
  5. Step 5: Solve for x
    x = 26,023,389.22/2,358.42
  6. Step 6: Final answer
    x = 11,034.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.