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Finding the Third Proportional to 14,069.63 and 33,211.88

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Solution

The third proportional to 14,069.63 and 33,211.88 is: 78,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.63 : 33,211.88 = 33,211.88 : x
  2. Step 2: Convert to fraction form
    14,069.63/33,211.88 = 33,211.88/x
  3. Step 3: Cross multiply
    14,069.63x = 33,211.88 × 33,211.88
  4. Step 4: Simplify right side
    14,069.63x = 1,103,028,641.02
  5. Step 5: Solve for x
    x = 1,103,028,641.02/14,069.63
  6. Step 6: Final answer
    x = 78,397.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.