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Finding the Third Proportional to 45,932.06 and 59,421.09

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Solution

The third proportional to 45,932.06 and 59,421.09 is: 76,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,932.06 : 59,421.09 = 59,421.09 : x
  2. Step 2: Convert to fraction form
    45,932.06/59,421.09 = 59,421.09/x
  3. Step 3: Cross multiply
    45,932.06x = 59,421.09 × 59,421.09
  4. Step 4: Simplify right side
    45,932.06x = 3,530,866,382.45
  5. Step 5: Solve for x
    x = 3,530,866,382.45/45,932.06
  6. Step 6: Final answer
    x = 76,871.50

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.