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Finding the Third Proportional to 34,052.06 and 51,537.94

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Solution

The third proportional to 34,052.06 and 51,537.94 is: 78,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052.06 : 51,537.94 = 51,537.94 : x
  2. Step 2: Convert to fraction form
    34,052.06/51,537.94 = 51,537.94/x
  3. Step 3: Cross multiply
    34,052.06x = 51,537.94 × 51,537.94
  4. Step 4: Simplify right side
    34,052.06x = 2,656,159,001.75
  5. Step 5: Solve for x
    x = 2,656,159,001.75/34,052.06
  6. Step 6: Final answer
    x = 78,002.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.