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Finding the Third Proportional to 5,464.38 and 11,707.88

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Solution

The third proportional to 5,464.38 and 11,707.88 is: 25,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.38 : 11,707.88 = 11,707.88 : x
  2. Step 2: Convert to fraction form
    5,464.38/11,707.88 = 11,707.88/x
  3. Step 3: Cross multiply
    5,464.38x = 11,707.88 × 11,707.88
  4. Step 4: Simplify right side
    5,464.38x = 137,074,337.02
  5. Step 5: Solve for x
    x = 137,074,337.02/5,464.38
  6. Step 6: Final answer
    x = 25,085.09

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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.