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Finding the Third Proportional to 8,061.63 and 12,214.13

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Solution

The third proportional to 8,061.63 and 12,214.13 is: 18,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.63 : 12,214.13 = 12,214.13 : x
  2. Step 2: Convert to fraction form
    8,061.63/12,214.13 = 12,214.13/x
  3. Step 3: Cross multiply
    8,061.63x = 12,214.13 × 12,214.13
  4. Step 4: Simplify right side
    8,061.63x = 149,184,849.52
  5. Step 5: Solve for x
    x = 149,184,849.52/8,061.63
  6. Step 6: Final answer
    x = 18,505.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.