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Finding the Third Proportional to 57,007.13 and 79,768.13

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Solution

The third proportional to 57,007.13 and 79,768.13 is: 111,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007.13 : 79,768.13 = 79,768.13 : x
  2. Step 2: Convert to fraction form
    57,007.13/79,768.13 = 79,768.13/x
  3. Step 3: Cross multiply
    57,007.13x = 79,768.13 × 79,768.13
  4. Step 4: Simplify right side
    57,007.13x = 6,362,953,766.02
  5. Step 5: Solve for x
    x = 6,362,953,766.02/57,007.13
  6. Step 6: Final answer
    x = 111,616.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.