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Finding the Third Proportional to 23,349.38 and 35,267.06

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Solution

The third proportional to 23,349.38 and 35,267.06 is: 53,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349.38 : 35,267.06 = 35,267.06 : x
  2. Step 2: Convert to fraction form
    23,349.38/35,267.06 = 35,267.06/x
  3. Step 3: Cross multiply
    23,349.38x = 35,267.06 × 35,267.06
  4. Step 4: Simplify right side
    23,349.38x = 1,243,765,697.38
  5. Step 5: Solve for x
    x = 1,243,765,697.38/23,349.38
  6. Step 6: Final answer
    x = 53,267.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.