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Finding the Third Proportional to 40,672.13 and 86,948.44

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Solution

The third proportional to 40,672.13 and 86,948.44 is: 185,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,672.13 : 86,948.44 = 86,948.44 : x
  2. Step 2: Convert to fraction form
    40,672.13/86,948.44 = 86,948.44/x
  3. Step 3: Cross multiply
    40,672.13x = 86,948.44 × 86,948.44
  4. Step 4: Simplify right side
    40,672.13x = 7,560,030,783.69
  5. Step 5: Solve for x
    x = 7,560,030,783.69/40,672.13
  6. Step 6: Final answer
    x = 185,877.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.