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Finding the Third Proportional to 12,901.36 and 18,167.63

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Solution

The third proportional to 12,901.36 and 18,167.63 is: 25,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.36 : 18,167.63 = 18,167.63 : x
  2. Step 2: Convert to fraction form
    12,901.36/18,167.63 = 18,167.63/x
  3. Step 3: Cross multiply
    12,901.36x = 18,167.63 × 18,167.63
  4. Step 4: Simplify right side
    12,901.36x = 330,062,598.14
  5. Step 5: Solve for x
    x = 330,062,598.14/12,901.36
  6. Step 6: Final answer
    x = 25,583.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.