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Finding the Third Proportional to 38,196 and 56,122.88

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Solution

The third proportional to 38,196 and 56,122.88 is: 82,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196 : 56,122.88 = 56,122.88 : x
  2. Step 2: Convert to fraction form
    38,196/56,122.88 = 56,122.88/x
  3. Step 3: Cross multiply
    38,196x = 56,122.88 × 56,122.88
  4. Step 4: Simplify right side
    38,196x = 3,149,777,098.27
  5. Step 5: Solve for x
    x = 3,149,777,098.27/38,196
  6. Step 6: Final answer
    x = 82,463.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.