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Finding the Third Proportional to 22,686.75 and 34,052.25

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Solution

The third proportional to 22,686.75 and 34,052.25 is: 51,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.75 : 34,052.25 = 34,052.25 : x
  2. Step 2: Convert to fraction form
    22,686.75/34,052.25 = 34,052.25/x
  3. Step 3: Cross multiply
    22,686.75x = 34,052.25 × 34,052.25
  4. Step 4: Simplify right side
    22,686.75x = 1,159,555,730.06
  5. Step 5: Solve for x
    x = 1,159,555,730.06/22,686.75
  6. Step 6: Final answer
    x = 51,111.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.