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Finding the Third Proportional to 6,464.09 and 13,948.53

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Solution

The third proportional to 6,464.09 and 13,948.53 is: 30,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.09 : 13,948.53 = 13,948.53 : x
  2. Step 2: Convert to fraction form
    6,464.09/13,948.53 = 13,948.53/x
  3. Step 3: Cross multiply
    6,464.09x = 13,948.53 × 13,948.53
  4. Step 4: Simplify right side
    6,464.09x = 194,561,551.28
  5. Step 5: Solve for x
    x = 194,561,551.28/6,464.09
  6. Step 6: Final answer
    x = 30,098.83

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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.