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Finding the Third Proportional to 14,719.50 and 34,105.50

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Solution

The third proportional to 14,719.50 and 34,105.50 is: 79,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.50 : 34,105.50 = 34,105.50 : x
  2. Step 2: Convert to fraction form
    14,719.50/34,105.50 = 34,105.50/x
  3. Step 3: Cross multiply
    14,719.50x = 34,105.50 × 34,105.50
  4. Step 4: Simplify right side
    14,719.50x = 1,163,185,130.25
  5. Step 5: Solve for x
    x = 1,163,185,130.25/14,719.50
  6. Step 6: Final answer
    x = 79,023.41

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.