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Finding the Third Proportional to 9,078.38 and 12,501.38

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Solution

The third proportional to 9,078.38 and 12,501.38 is: 17,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.38 : 12,501.38 = 12,501.38 : x
  2. Step 2: Convert to fraction form
    9,078.38/12,501.38 = 12,501.38/x
  3. Step 3: Cross multiply
    9,078.38x = 12,501.38 × 12,501.38
  4. Step 4: Simplify right side
    9,078.38x = 156,284,376.89
  5. Step 5: Solve for x
    x = 156,284,376.89/9,078.38
  6. Step 6: Final answer
    x = 17,215.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.