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Finding the Third Proportional to 45,871.31 and 70,894.41

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Solution

The third proportional to 45,871.31 and 70,894.41 is: 109,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,871.31 : 70,894.41 = 70,894.41 : x
  2. Step 2: Convert to fraction form
    45,871.31/70,894.41 = 70,894.41/x
  3. Step 3: Cross multiply
    45,871.31x = 70,894.41 × 70,894.41
  4. Step 4: Simplify right side
    45,871.31x = 5,026,016,837.54
  5. Step 5: Solve for x
    x = 5,026,016,837.54/45,871.31
  6. Step 6: Final answer
    x = 109,567.76

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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.