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Finding the Third Proportional to 15,571 and 22,780.50

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Solution

The third proportional to 15,571 and 22,780.50 is: 33,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,571 : 22,780.50 = 22,780.50 : x
  2. Step 2: Convert to fraction form
    15,571/22,780.50 = 22,780.50/x
  3. Step 3: Cross multiply
    15,571x = 22,780.50 × 22,780.50
  4. Step 4: Simplify right side
    15,571x = 518,951,180.25
  5. Step 5: Solve for x
    x = 518,951,180.25/15,571
  6. Step 6: Final answer
    x = 33,328.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.