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Finding the Third Proportional to 14,670 and 20,902.50

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Solution

The third proportional to 14,670 and 20,902.50 is: 29,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670 : 20,902.50 = 20,902.50 : x
  2. Step 2: Convert to fraction form
    14,670/20,902.50 = 20,902.50/x
  3. Step 3: Cross multiply
    14,670x = 20,902.50 × 20,902.50
  4. Step 4: Simplify right side
    14,670x = 436,914,506.25
  5. Step 5: Solve for x
    x = 436,914,506.25/14,670
  6. Step 6: Final answer
    x = 29,782.86

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.