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Finding the Third Proportional to 8,170.88 and 13,056.19

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Solution

The third proportional to 8,170.88 and 13,056.19 is: 20,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.88 : 13,056.19 = 13,056.19 : x
  2. Step 2: Convert to fraction form
    8,170.88/13,056.19 = 13,056.19/x
  3. Step 3: Cross multiply
    8,170.88x = 13,056.19 × 13,056.19
  4. Step 4: Simplify right side
    8,170.88x = 170,464,032.04
  5. Step 5: Solve for x
    x = 170,464,032.04/8,170.88
  6. Step 6: Final answer
    x = 20,862.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.