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Finding the Third Proportional to 18,471 and 28,012.50

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Solution

The third proportional to 18,471 and 28,012.50 is: 42,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471 : 28,012.50 = 28,012.50 : x
  2. Step 2: Convert to fraction form
    18,471/28,012.50 = 28,012.50/x
  3. Step 3: Cross multiply
    18,471x = 28,012.50 × 28,012.50
  4. Step 4: Simplify right side
    18,471x = 784,700,156.25
  5. Step 5: Solve for x
    x = 784,700,156.25/18,471
  6. Step 6: Final answer
    x = 42,482.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.