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Finding the Third Proportional to 23,374 and 35,305

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Solution

The third proportional to 23,374 and 35,305 is: 53,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374 : 35,305 = 35,305 : x
  2. Step 2: Convert to fraction form
    23,374/35,305 = 35,305/x
  3. Step 3: Cross multiply
    23,374x = 35,305 × 35,305
  4. Step 4: Simplify right side
    23,374x = 1,246,443,025
  5. Step 5: Solve for x
    x = 1,246,443,025/23,374
  6. Step 6: Final answer
    x = 53,326.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.