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Finding the Third Proportional to 2,346.38 and 5,154.19

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Solution

The third proportional to 2,346.38 and 5,154.19 is: 11,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.38 : 5,154.19 = 5,154.19 : x
  2. Step 2: Convert to fraction form
    2,346.38/5,154.19 = 5,154.19/x
  3. Step 3: Cross multiply
    2,346.38x = 5,154.19 × 5,154.19
  4. Step 4: Simplify right side
    2,346.38x = 26,565,648.79
  5. Step 5: Solve for x
    x = 26,565,648.79/2,346.38
  6. Step 6: Final answer
    x = 11,322.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.