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Finding the Third Proportional to 23,471 and 35,210

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Solution

The third proportional to 23,471 and 35,210 is: 52,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471 : 35,210 = 35,210 : x
  2. Step 2: Convert to fraction form
    23,471/35,210 = 35,210/x
  3. Step 3: Cross multiply
    23,471x = 35,210 × 35,210
  4. Step 4: Simplify right side
    23,471x = 1,239,744,100
  5. Step 5: Solve for x
    x = 1,239,744,100/23,471
  6. Step 6: Final answer
    x = 52,820.25

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