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Finding the Third Proportional to 34,215.75 and 50,139

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Solution

The third proportional to 34,215.75 and 50,139 is: 73,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,215.75 : 50,139 = 50,139 : x
  2. Step 2: Convert to fraction form
    34,215.75/50,139 = 50,139/x
  3. Step 3: Cross multiply
    34,215.75x = 50,139 × 50,139
  4. Step 4: Simplify right side
    34,215.75x = 2,513,919,321
  5. Step 5: Solve for x
    x = 2,513,919,321/34,215.75
  6. Step 6: Final answer
    x = 73,472.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.