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Finding the Third Proportional to 2,358.56 and 5,508.28

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Solution

The third proportional to 2,358.56 and 5,508.28 is: 12,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.56 : 5,508.28 = 5,508.28 : x
  2. Step 2: Convert to fraction form
    2,358.56/5,508.28 = 5,508.28/x
  3. Step 3: Cross multiply
    2,358.56x = 5,508.28 × 5,508.28
  4. Step 4: Simplify right side
    2,358.56x = 30,341,162.33
  5. Step 5: Solve for x
    x = 30,341,162.33/2,358.56
  6. Step 6: Final answer
    x = 12,864.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.