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Finding the Third Proportional to 28,472 and 61,154

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Solution

The third proportional to 28,472 and 61,154 is: 131,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,472 : 61,154 = 61,154 : x
  2. Step 2: Convert to fraction form
    28,472/61,154 = 61,154/x
  3. Step 3: Cross multiply
    28,472x = 61,154 × 61,154
  4. Step 4: Simplify right side
    28,472x = 3,739,811,716
  5. Step 5: Solve for x
    x = 3,739,811,716/28,472
  6. Step 6: Final answer
    x = 131,350.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.