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Finding the Third Proportional to 14,232 and 20,498.50

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Solution

The third proportional to 14,232 and 20,498.50 is: 29,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 20,498.50 = 20,498.50 : x
  2. Step 2: Convert to fraction form
    14,232/20,498.50 = 20,498.50/x
  3. Step 3: Cross multiply
    14,232x = 20,498.50 × 20,498.50
  4. Step 4: Simplify right side
    14,232x = 420,188,502.25
  5. Step 5: Solve for x
    x = 420,188,502.25/14,232
  6. Step 6: Final answer
    x = 29,524.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.