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Finding the Third Proportional to 14,154 and 30,766.50

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Solution

The third proportional to 14,154 and 30,766.50 is: 66,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154 : 30,766.50 = 30,766.50 : x
  2. Step 2: Convert to fraction form
    14,154/30,766.50 = 30,766.50/x
  3. Step 3: Cross multiply
    14,154x = 30,766.50 × 30,766.50
  4. Step 4: Simplify right side
    14,154x = 946,577,522.25
  5. Step 5: Solve for x
    x = 946,577,522.25/14,154
  6. Step 6: Final answer
    x = 66,877.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.