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Finding the Third Proportional to 7,984.41 and 12,088.41

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Solution

The third proportional to 7,984.41 and 12,088.41 is: 18,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.41 : 12,088.41 = 12,088.41 : x
  2. Step 2: Convert to fraction form
    7,984.41/12,088.41 = 12,088.41/x
  3. Step 3: Cross multiply
    7,984.41x = 12,088.41 × 12,088.41
  4. Step 4: Simplify right side
    7,984.41x = 146,129,565.67
  5. Step 5: Solve for x
    x = 146,129,565.67/7,984.41
  6. Step 6: Final answer
    x = 18,301.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.