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Finding the Third Proportional to 28,642.50 and 62,172

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Solution

The third proportional to 28,642.50 and 62,172 is: 134,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,642.50 : 62,172 = 62,172 : x
  2. Step 2: Convert to fraction form
    28,642.50/62,172 = 62,172/x
  3. Step 3: Cross multiply
    28,642.50x = 62,172 × 62,172
  4. Step 4: Simplify right side
    28,642.50x = 3,865,357,584
  5. Step 5: Solve for x
    x = 3,865,357,584/28,642.50
  6. Step 6: Final answer
    x = 134,951.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.