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Finding the Third Proportional to 16,974 and 25,615.13

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Solution

The third proportional to 16,974 and 25,615.13 is: 38,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974 : 25,615.13 = 25,615.13 : x
  2. Step 2: Convert to fraction form
    16,974/25,615.13 = 25,615.13/x
  3. Step 3: Cross multiply
    16,974x = 25,615.13 × 25,615.13
  4. Step 4: Simplify right side
    16,974x = 656,134,628.77
  5. Step 5: Solve for x
    x = 656,134,628.77/16,974
  6. Step 6: Final answer
    x = 38,655.27

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1.5x scale

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.