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Finding the Third Proportional to 8,084.63 and 12,157.13

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Solution

The third proportional to 8,084.63 and 12,157.13 is: 18,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.63 : 12,157.13 = 12,157.13 : x
  2. Step 2: Convert to fraction form
    8,084.63/12,157.13 = 12,157.13/x
  3. Step 3: Cross multiply
    8,084.63x = 12,157.13 × 12,157.13
  4. Step 4: Simplify right side
    8,084.63x = 147,795,688.27
  5. Step 5: Solve for x
    x = 147,795,688.27/8,084.63
  6. Step 6: Final answer
    x = 18,281.08

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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.