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Finding the Third Proportional to 16,061.06 and 38,646.56

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Solution

The third proportional to 16,061.06 and 38,646.56 is: 92,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,061.06 : 38,646.56 = 38,646.56 : x
  2. Step 2: Convert to fraction form
    16,061.06/38,646.56 = 38,646.56/x
  3. Step 3: Cross multiply
    16,061.06x = 38,646.56 × 38,646.56
  4. Step 4: Simplify right side
    16,061.06x = 1,493,556,793.07
  5. Step 5: Solve for x
    x = 1,493,556,793.07/16,061.06
  6. Step 6: Final answer
    x = 92,992.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.