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Finding the Third Proportional to 15,786.50 and 24,510

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Solution

The third proportional to 15,786.50 and 24,510 is: 38,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.50 : 24,510 = 24,510 : x
  2. Step 2: Convert to fraction form
    15,786.50/24,510 = 24,510/x
  3. Step 3: Cross multiply
    15,786.50x = 24,510 × 24,510
  4. Step 4: Simplify right side
    15,786.50x = 600,740,100
  5. Step 5: Solve for x
    x = 600,740,100/15,786.50
  6. Step 6: Final answer
    x = 38,054.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.