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Finding the Third Proportional to 23,014.13 and 34,237.69

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Solution

The third proportional to 23,014.13 and 34,237.69 is: 50,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.13 : 34,237.69 = 34,237.69 : x
  2. Step 2: Convert to fraction form
    23,014.13/34,237.69 = 34,237.69/x
  3. Step 3: Cross multiply
    23,014.13x = 34,237.69 × 34,237.69
  4. Step 4: Simplify right side
    23,014.13x = 1,172,219,245.35
  5. Step 5: Solve for x
    x = 1,172,219,245.35/23,014.13
  6. Step 6: Final answer
    x = 50,934.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.