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Finding the Third Proportional to 23,470 and 35,208

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Solution

The third proportional to 23,470 and 35,208 is: 52,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470 : 35,208 = 35,208 : x
  2. Step 2: Convert to fraction form
    23,470/35,208 = 35,208/x
  3. Step 3: Cross multiply
    23,470x = 35,208 × 35,208
  4. Step 4: Simplify right side
    23,470x = 1,239,603,264
  5. Step 5: Solve for x
    x = 1,239,603,264/23,470
  6. Step 6: Final answer
    x = 52,816.50

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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.