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Finding the Third Proportional to 16,434.75 and 38,412.75

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Solution

The third proportional to 16,434.75 and 38,412.75 is: 89,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.75 : 38,412.75 = 38,412.75 : x
  2. Step 2: Convert to fraction form
    16,434.75/38,412.75 = 38,412.75/x
  3. Step 3: Cross multiply
    16,434.75x = 38,412.75 × 38,412.75
  4. Step 4: Simplify right side
    16,434.75x = 1,475,539,362.56
  5. Step 5: Solve for x
    x = 1,475,539,362.56/16,434.75
  6. Step 6: Final answer
    x = 89,781.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.