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Finding the Third Proportional to 29,229 and 47,071

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Solution

The third proportional to 29,229 and 47,071 is: 75,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,229 : 47,071 = 47,071 : x
  2. Step 2: Convert to fraction form
    29,229/47,071 = 47,071/x
  3. Step 3: Cross multiply
    29,229x = 47,071 × 47,071
  4. Step 4: Simplify right side
    29,229x = 2,215,679,041
  5. Step 5: Solve for x
    x = 2,215,679,041/29,229
  6. Step 6: Final answer
    x = 75,804.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.