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Finding the Third Proportional to 13,167.56 and 20,970.14

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Solution

The third proportional to 13,167.56 and 20,970.14 is: 33,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.56 : 20,970.14 = 20,970.14 : x
  2. Step 2: Convert to fraction form
    13,167.56/20,970.14 = 20,970.14/x
  3. Step 3: Cross multiply
    13,167.56x = 20,970.14 × 20,970.14
  4. Step 4: Simplify right side
    13,167.56x = 439,746,797.83
  5. Step 5: Solve for x
    x = 439,746,797.83/13,167.56
  6. Step 6: Final answer
    x = 33,396.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.