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Finding the Third Proportional to 39,214.13 and 55,426.78

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Solution

The third proportional to 39,214.13 and 55,426.78 is: 78,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,214.13 : 55,426.78 = 55,426.78 : x
  2. Step 2: Convert to fraction form
    39,214.13/55,426.78 = 55,426.78/x
  3. Step 3: Cross multiply
    39,214.13x = 55,426.78 × 55,426.78
  4. Step 4: Simplify right side
    39,214.13x = 3,072,128,079.74
  5. Step 5: Solve for x
    x = 3,072,128,079.74/39,214.13
  6. Step 6: Final answer
    x = 78,342.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.