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Finding the Third Proportional to 22,576.50 and 25,870.50

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Solution

The third proportional to 22,576.50 and 25,870.50 is: 29,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.50 : 25,870.50 = 25,870.50 : x
  2. Step 2: Convert to fraction form
    22,576.50/25,870.50 = 25,870.50/x
  3. Step 3: Cross multiply
    22,576.50x = 25,870.50 × 25,870.50
  4. Step 4: Simplify right side
    22,576.50x = 669,282,770.25
  5. Step 5: Solve for x
    x = 669,282,770.25/22,576.50
  6. Step 6: Final answer
    x = 29,645.11

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.