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Finding the Third Proportional to 35,264 and 53,261

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Solution

The third proportional to 35,264 and 53,261 is: 80,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264 : 53,261 = 53,261 : x
  2. Step 2: Convert to fraction form
    35,264/53,261 = 53,261/x
  3. Step 3: Cross multiply
    35,264x = 53,261 × 53,261
  4. Step 4: Simplify right side
    35,264x = 2,836,734,121
  5. Step 5: Solve for x
    x = 2,836,734,121/35,264
  6. Step 6: Final answer
    x = 80,442.78

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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.