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Finding the Third Proportional to 14,154 and 31,093.50

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Solution

The third proportional to 14,154 and 31,093.50 is: 68,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154 : 31,093.50 = 31,093.50 : x
  2. Step 2: Convert to fraction form
    14,154/31,093.50 = 31,093.50/x
  3. Step 3: Cross multiply
    14,154x = 31,093.50 × 31,093.50
  4. Step 4: Simplify right side
    14,154x = 966,805,742.25
  5. Step 5: Solve for x
    x = 966,805,742.25/14,154
  6. Step 6: Final answer
    x = 68,306.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.