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Finding the Third Proportional to 28,231 and 42,209.50

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Solution

The third proportional to 28,231 and 42,209.50 is: 63,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231 : 42,209.50 = 42,209.50 : x
  2. Step 2: Convert to fraction form
    28,231/42,209.50 = 42,209.50/x
  3. Step 3: Cross multiply
    28,231x = 42,209.50 × 42,209.50
  4. Step 4: Simplify right side
    28,231x = 1,781,641,890.25
  5. Step 5: Solve for x
    x = 1,781,641,890.25/28,231
  6. Step 6: Final answer
    x = 63,109.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.