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Finding the Third Proportional to 32,676.86 and 71,572.99

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Solution

The third proportional to 32,676.86 and 71,572.99 is: 156,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.86 : 71,572.99 = 71,572.99 : x
  2. Step 2: Convert to fraction form
    32,676.86/71,572.99 = 71,572.99/x
  3. Step 3: Cross multiply
    32,676.86x = 71,572.99 × 71,572.99
  4. Step 4: Simplify right side
    32,676.86x = 5,122,693,210.67
  5. Step 5: Solve for x
    x = 5,122,693,210.67/32,676.86
  6. Step 6: Final answer
    x = 156,768.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.