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Finding the Third Proportional to 23,653 and 35,578

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Solution

The third proportional to 23,653 and 35,578 is: 53,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653 : 35,578 = 35,578 : x
  2. Step 2: Convert to fraction form
    23,653/35,578 = 35,578/x
  3. Step 3: Cross multiply
    23,653x = 35,578 × 35,578
  4. Step 4: Simplify right side
    23,653x = 1,265,794,084
  5. Step 5: Solve for x
    x = 1,265,794,084/23,653
  6. Step 6: Final answer
    x = 53,515.16

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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.