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Finding the Third Proportional to 23,395.50 and 35,061

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Solution

The third proportional to 23,395.50 and 35,061 is: 52,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,395.50 : 35,061 = 35,061 : x
  2. Step 2: Convert to fraction form
    23,395.50/35,061 = 35,061/x
  3. Step 3: Cross multiply
    23,395.50x = 35,061 × 35,061
  4. Step 4: Simplify right side
    23,395.50x = 1,229,273,721
  5. Step 5: Solve for x
    x = 1,229,273,721/23,395.50
  6. Step 6: Final answer
    x = 52,543.17

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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.