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Finding the Third Proportional to 2,598.38 and 5,565.38

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Solution

The third proportional to 2,598.38 and 5,565.38 is: 11,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.38 : 5,565.38 = 5,565.38 : x
  2. Step 2: Convert to fraction form
    2,598.38/5,565.38 = 5,565.38/x
  3. Step 3: Cross multiply
    2,598.38x = 5,565.38 × 5,565.38
  4. Step 4: Simplify right side
    2,598.38x = 30,973,398.89
  5. Step 5: Solve for x
    x = 30,973,398.89/2,598.38
  6. Step 6: Final answer
    x = 11,920.30

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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.