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Finding the Third Proportional to 14,908 and 20,243.50

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Solution

The third proportional to 14,908 and 20,243.50 is: 27,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908 : 20,243.50 = 20,243.50 : x
  2. Step 2: Convert to fraction form
    14,908/20,243.50 = 20,243.50/x
  3. Step 3: Cross multiply
    14,908x = 20,243.50 × 20,243.50
  4. Step 4: Simplify right side
    14,908x = 409,799,292.25
  5. Step 5: Solve for x
    x = 409,799,292.25/14,908
  6. Step 6: Final answer
    x = 27,488.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.