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Finding the Third Proportional to 8,456.63 and 12,019.88

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Solution

The third proportional to 8,456.63 and 12,019.88 is: 17,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.63 : 12,019.88 = 12,019.88 : x
  2. Step 2: Convert to fraction form
    8,456.63/12,019.88 = 12,019.88/x
  3. Step 3: Cross multiply
    8,456.63x = 12,019.88 × 12,019.88
  4. Step 4: Simplify right side
    8,456.63x = 144,477,395.02
  5. Step 5: Solve for x
    x = 144,477,395.02/8,456.63
  6. Step 6: Final answer
    x = 17,084.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.