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Finding the Third Proportional to 29,158 and 43,729

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Solution

The third proportional to 29,158 and 43,729 is: 65,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,158 : 43,729 = 43,729 : x
  2. Step 2: Convert to fraction form
    29,158/43,729 = 43,729/x
  3. Step 3: Cross multiply
    29,158x = 43,729 × 43,729
  4. Step 4: Simplify right side
    29,158x = 1,912,225,441
  5. Step 5: Solve for x
    x = 1,912,225,441/29,158
  6. Step 6: Final answer
    x = 65,581.50

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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.