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Finding the Third Proportional to 13,417.68 and 20,157.13

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Solution

The third proportional to 13,417.68 and 20,157.13 is: 30,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.68 : 20,157.13 = 20,157.13 : x
  2. Step 2: Convert to fraction form
    13,417.68/20,157.13 = 20,157.13/x
  3. Step 3: Cross multiply
    13,417.68x = 20,157.13 × 20,157.13
  4. Step 4: Simplify right side
    13,417.68x = 406,310,081.96
  5. Step 5: Solve for x
    x = 406,310,081.96/13,417.68
  6. Step 6: Final answer
    x = 30,281.69

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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.