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Finding the Third Proportional to 29,859 and 63,558

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Solution

The third proportional to 29,859 and 63,558 is: 135,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,859 : 63,558 = 63,558 : x
  2. Step 2: Convert to fraction form
    29,859/63,558 = 63,558/x
  3. Step 3: Cross multiply
    29,859x = 63,558 × 63,558
  4. Step 4: Simplify right side
    29,859x = 4,039,619,364
  5. Step 5: Solve for x
    x = 4,039,619,364/29,859
  6. Step 6: Final answer
    x = 135,289.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.