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Finding the Third Proportional to 15,435.56 and 31,964.63

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Solution

The third proportional to 15,435.56 and 31,964.63 is: 66,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435.56 : 31,964.63 = 31,964.63 : x
  2. Step 2: Convert to fraction form
    15,435.56/31,964.63 = 31,964.63/x
  3. Step 3: Cross multiply
    15,435.56x = 31,964.63 × 31,964.63
  4. Step 4: Simplify right side
    15,435.56x = 1,021,737,251.39
  5. Step 5: Solve for x
    x = 1,021,737,251.39/15,435.56
  6. Step 6: Final answer
    x = 66,193.72

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.