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Finding the Third Proportional to 31,919.63 and 74,557.13

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Solution

The third proportional to 31,919.63 and 74,557.13 is: 174,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,919.63 : 74,557.13 = 74,557.13 : x
  2. Step 2: Convert to fraction form
    31,919.63/74,557.13 = 74,557.13/x
  3. Step 3: Cross multiply
    31,919.63x = 74,557.13 × 74,557.13
  4. Step 4: Simplify right side
    31,919.63x = 5,558,764,888.27
  5. Step 5: Solve for x
    x = 5,558,764,888.27/31,919.63
  6. Step 6: Final answer
    x = 174,148.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.