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Finding the Third Proportional to 23,473 and 35,213

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Solution

The third proportional to 23,473 and 35,213 is: 52,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473 : 35,213 = 35,213 : x
  2. Step 2: Convert to fraction form
    23,473/35,213 = 35,213/x
  3. Step 3: Cross multiply
    23,473x = 35,213 × 35,213
  4. Step 4: Simplify right side
    23,473x = 1,239,955,369
  5. Step 5: Solve for x
    x = 1,239,955,369/23,473
  6. Step 6: Final answer
    x = 52,824.75

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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.