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Finding the Third Proportional to 8,938 and 14,164.50

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Solution

The third proportional to 8,938 and 14,164.50 is: 22,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938 : 14,164.50 = 14,164.50 : x
  2. Step 2: Convert to fraction form
    8,938/14,164.50 = 14,164.50/x
  3. Step 3: Cross multiply
    8,938x = 14,164.50 × 14,164.50
  4. Step 4: Simplify right side
    8,938x = 200,633,060.25
  5. Step 5: Solve for x
    x = 200,633,060.25/8,938
  6. Step 6: Final answer
    x = 22,447.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.