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Finding the Third Proportional to 38,672.44 and 52,176.66

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Solution

The third proportional to 38,672.44 and 52,176.66 is: 70,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,672.44 : 52,176.66 = 52,176.66 : x
  2. Step 2: Convert to fraction form
    38,672.44/52,176.66 = 52,176.66/x
  3. Step 3: Cross multiply
    38,672.44x = 52,176.66 × 52,176.66
  4. Step 4: Simplify right side
    38,672.44x = 2,722,403,457.43
  5. Step 5: Solve for x
    x = 2,722,403,457.43/38,672.44
  6. Step 6: Final answer
    x = 70,396.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.