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Finding the Third Proportional to 25,143 and 33,376.50

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Solution

The third proportional to 25,143 and 33,376.50 is: 44,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143 : 33,376.50 = 33,376.50 : x
  2. Step 2: Convert to fraction form
    25,143/33,376.50 = 33,376.50/x
  3. Step 3: Cross multiply
    25,143x = 33,376.50 × 33,376.50
  4. Step 4: Simplify right side
    25,143x = 1,113,990,752.25
  5. Step 5: Solve for x
    x = 1,113,990,752.25/25,143
  6. Step 6: Final answer
    x = 44,306.20

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.