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Finding the Third Proportional to 13,275.77 and 18,017.12

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Solution

The third proportional to 13,275.77 and 18,017.12 is: 24,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.77 : 18,017.12 = 18,017.12 : x
  2. Step 2: Convert to fraction form
    13,275.77/18,017.12 = 18,017.12/x
  3. Step 3: Cross multiply
    13,275.77x = 18,017.12 × 18,017.12
  4. Step 4: Simplify right side
    13,275.77x = 324,616,652.51
  5. Step 5: Solve for x
    x = 324,616,652.51/13,275.77
  6. Step 6: Final answer
    x = 24,451.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.