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Finding the Third Proportional to 16,077 and 25,035.75

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Solution

The third proportional to 16,077 and 25,035.75 is: 38,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077 : 25,035.75 = 25,035.75 : x
  2. Step 2: Convert to fraction form
    16,077/25,035.75 = 25,035.75/x
  3. Step 3: Cross multiply
    16,077x = 25,035.75 × 25,035.75
  4. Step 4: Simplify right side
    16,077x = 626,788,778.06
  5. Step 5: Solve for x
    x = 626,788,778.06/16,077
  6. Step 6: Final answer
    x = 38,986.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.