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Finding the Third Proportional to 23,473.13 and 35,202.94

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Solution

The third proportional to 23,473.13 and 35,202.94 is: 52,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.13 : 35,202.94 = 35,202.94 : x
  2. Step 2: Convert to fraction form
    23,473.13/35,202.94 = 35,202.94/x
  3. Step 3: Cross multiply
    23,473.13x = 35,202.94 × 35,202.94
  4. Step 4: Simplify right side
    23,473.13x = 1,239,246,808.63
  5. Step 5: Solve for x
    x = 1,239,246,808.63/23,473.13
  6. Step 6: Final answer
    x = 52,794.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.