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Finding the Third Proportional to 6,885.38 and 14,864.25

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Solution

The third proportional to 6,885.38 and 14,864.25 is: 32,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.38 : 14,864.25 = 14,864.25 : x
  2. Step 2: Convert to fraction form
    6,885.38/14,864.25 = 14,864.25/x
  3. Step 3: Cross multiply
    6,885.38x = 14,864.25 × 14,864.25
  4. Step 4: Simplify right side
    6,885.38x = 220,945,928.06
  5. Step 5: Solve for x
    x = 220,945,928.06/6,885.38
  6. Step 6: Final answer
    x = 32,089.16

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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.