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Finding the Third Proportional to 16,127 and 33,475.50

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Solution

The third proportional to 16,127 and 33,475.50 is: 69,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127 : 33,475.50 = 33,475.50 : x
  2. Step 2: Convert to fraction form
    16,127/33,475.50 = 33,475.50/x
  3. Step 3: Cross multiply
    16,127x = 33,475.50 × 33,475.50
  4. Step 4: Simplify right side
    16,127x = 1,120,609,100.25
  5. Step 5: Solve for x
    x = 1,120,609,100.25/16,127
  6. Step 6: Final answer
    x = 69,486.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.