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Finding the Third Proportional to 13,275.19 and 20,015.16

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Solution

The third proportional to 13,275.19 and 20,015.16 is: 30,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.19 : 20,015.16 = 20,015.16 : x
  2. Step 2: Convert to fraction form
    13,275.19/20,015.16 = 20,015.16/x
  3. Step 3: Cross multiply
    13,275.19x = 20,015.16 × 20,015.16
  4. Step 4: Simplify right side
    13,275.19x = 400,606,479.71
  5. Step 5: Solve for x
    x = 400,606,479.71/13,275.19
  6. Step 6: Final answer
    x = 30,177.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.