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Finding the Third Proportional to 55,012.45 and 79,923.74

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Solution

The third proportional to 55,012.45 and 79,923.74 is: 116,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,012.45 : 79,923.74 = 79,923.74 : x
  2. Step 2: Convert to fraction form
    55,012.45/79,923.74 = 79,923.74/x
  3. Step 3: Cross multiply
    55,012.45x = 79,923.74 × 79,923.74
  4. Step 4: Simplify right side
    55,012.45x = 6,387,804,877.46
  5. Step 5: Solve for x
    x = 6,387,804,877.46/55,012.45
  6. Step 6: Final answer
    x = 116,115.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.