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Finding the Third Proportional to 16,734 and 25,101.75

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Solution

The third proportional to 16,734 and 25,101.75 is: 37,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,734 : 25,101.75 = 25,101.75 : x
  2. Step 2: Convert to fraction form
    16,734/25,101.75 = 25,101.75/x
  3. Step 3: Cross multiply
    16,734x = 25,101.75 × 25,101.75
  4. Step 4: Simplify right side
    16,734x = 630,097,853.06
  5. Step 5: Solve for x
    x = 630,097,853.06/16,734
  6. Step 6: Final answer
    x = 37,653.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.