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Finding the Third Proportional to 8,112 and 12,316.50

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Solution

The third proportional to 8,112 and 12,316.50 is: 18,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 12,316.50 = 12,316.50 : x
  2. Step 2: Convert to fraction form
    8,112/12,316.50 = 12,316.50/x
  3. Step 3: Cross multiply
    8,112x = 12,316.50 × 12,316.50
  4. Step 4: Simplify right side
    8,112x = 151,696,172.25
  5. Step 5: Solve for x
    x = 151,696,172.25/8,112
  6. Step 6: Final answer
    x = 18,700.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.