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Finding the Third Proportional to 52,034.63 and 69,177.38

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Solution

The third proportional to 52,034.63 and 69,177.38 is: 91,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.63 : 69,177.38 = 69,177.38 : x
  2. Step 2: Convert to fraction form
    52,034.63/69,177.38 = 69,177.38/x
  3. Step 3: Cross multiply
    52,034.63x = 69,177.38 × 69,177.38
  4. Step 4: Simplify right side
    52,034.63x = 4,785,509,211.89
  5. Step 5: Solve for x
    x = 4,785,509,211.89/52,034.63
  6. Step 6: Final answer
    x = 91,967.79

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.