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Finding the Third Proportional to 23,064.12 and 34,475.63

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Solution

The third proportional to 23,064.12 and 34,475.63 is: 51,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064.12 : 34,475.63 = 34,475.63 : x
  2. Step 2: Convert to fraction form
    23,064.12/34,475.63 = 34,475.63/x
  3. Step 3: Cross multiply
    23,064.12x = 34,475.63 × 34,475.63
  4. Step 4: Simplify right side
    23,064.12x = 1,188,568,719.14
  5. Step 5: Solve for x
    x = 1,188,568,719.14/23,064.12
  6. Step 6: Final answer
    x = 51,533.24

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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.