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Finding the Third Proportional to 28,447 and 45,217.50

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Solution

The third proportional to 28,447 and 45,217.50 is: 71,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,447 : 45,217.50 = 45,217.50 : x
  2. Step 2: Convert to fraction form
    28,447/45,217.50 = 45,217.50/x
  3. Step 3: Cross multiply
    28,447x = 45,217.50 × 45,217.50
  4. Step 4: Simplify right side
    28,447x = 2,044,622,306.25
  5. Step 5: Solve for x
    x = 2,044,622,306.25/28,447
  6. Step 6: Final answer
    x = 71,874.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.