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Finding the Third Proportional to 9,414.75 and 13,878.75

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Solution

The third proportional to 9,414.75 and 13,878.75 is: 20,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.75 : 13,878.75 = 13,878.75 : x
  2. Step 2: Convert to fraction form
    9,414.75/13,878.75 = 13,878.75/x
  3. Step 3: Cross multiply
    9,414.75x = 13,878.75 × 13,878.75
  4. Step 4: Simplify right side
    9,414.75x = 192,619,701.56
  5. Step 5: Solve for x
    x = 192,619,701.56/9,414.75
  6. Step 6: Final answer
    x = 20,459.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.