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Finding the Third Proportional to 41,987.81 and 65,010.38

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Solution

The third proportional to 41,987.81 and 65,010.38 is: 100,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987.81 : 65,010.38 = 65,010.38 : x
  2. Step 2: Convert to fraction form
    41,987.81/65,010.38 = 65,010.38/x
  3. Step 3: Cross multiply
    41,987.81x = 65,010.38 × 65,010.38
  4. Step 4: Simplify right side
    41,987.81x = 4,226,348,857.64
  5. Step 5: Solve for x
    x = 4,226,348,857.64/41,987.81
  6. Step 6: Final answer
    x = 100,656.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.