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Finding the Third Proportional to 15,822.75 and 24,280.88

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Solution

The third proportional to 15,822.75 and 24,280.88 is: 37,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.75 : 24,280.88 = 24,280.88 : x
  2. Step 2: Convert to fraction form
    15,822.75/24,280.88 = 24,280.88/x
  3. Step 3: Cross multiply
    15,822.75x = 24,280.88 × 24,280.88
  4. Step 4: Simplify right side
    15,822.75x = 589,560,890.77
  5. Step 5: Solve for x
    x = 589,560,890.77/15,822.75
  6. Step 6: Final answer
    x = 37,260.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.