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Finding the Third Proportional to 8,751 and 12,478.50

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Solution

The third proportional to 8,751 and 12,478.50 is: 17,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751 : 12,478.50 = 12,478.50 : x
  2. Step 2: Convert to fraction form
    8,751/12,478.50 = 12,478.50/x
  3. Step 3: Cross multiply
    8,751x = 12,478.50 × 12,478.50
  4. Step 4: Simplify right side
    8,751x = 155,712,962.25
  5. Step 5: Solve for x
    x = 155,712,962.25/8,751
  6. Step 6: Final answer
    x = 17,793.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.