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Finding the Third Proportional to 16,101.75 and 24,274.13

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Solution

The third proportional to 16,101.75 and 24,274.13 is: 36,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.75 : 24,274.13 = 24,274.13 : x
  2. Step 2: Convert to fraction form
    16,101.75/24,274.13 = 24,274.13/x
  3. Step 3: Cross multiply
    16,101.75x = 24,274.13 × 24,274.13
  4. Step 4: Simplify right side
    16,101.75x = 589,233,144.52
  5. Step 5: Solve for x
    x = 589,233,144.52/16,101.75
  6. Step 6: Final answer
    x = 36,594.35

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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.