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Finding the Third Proportional to 38,988.75 and 82,051.69

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Solution

The third proportional to 38,988.75 and 82,051.69 is: 172,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,988.75 : 82,051.69 = 82,051.69 : x
  2. Step 2: Convert to fraction form
    38,988.75/82,051.69 = 82,051.69/x
  3. Step 3: Cross multiply
    38,988.75x = 82,051.69 × 82,051.69
  4. Step 4: Simplify right side
    38,988.75x = 6,732,479,421.60
  5. Step 5: Solve for x
    x = 6,732,479,421.60/38,988.75
  6. Step 6: Final answer
    x = 172,677.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.