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Finding the Third Proportional to 14,266.76 and 34,522.14

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Solution

The third proportional to 14,266.76 and 34,522.14 is: 83,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.76 : 34,522.14 = 34,522.14 : x
  2. Step 2: Convert to fraction form
    14,266.76/34,522.14 = 34,522.14/x
  3. Step 3: Cross multiply
    14,266.76x = 34,522.14 × 34,522.14
  4. Step 4: Simplify right side
    14,266.76x = 1,191,777,923.63
  5. Step 5: Solve for x
    x = 1,191,777,923.63/14,266.76
  6. Step 6: Final answer
    x = 83,535.30

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.