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Finding the Third Proportional to 29,800 and 43,877

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Solution

The third proportional to 29,800 and 43,877 is: 64,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,800 : 43,877 = 43,877 : x
  2. Step 2: Convert to fraction form
    29,800/43,877 = 43,877/x
  3. Step 3: Cross multiply
    29,800x = 43,877 × 43,877
  4. Step 4: Simplify right side
    29,800x = 1,925,191,129
  5. Step 5: Solve for x
    x = 1,925,191,129/29,800
  6. Step 6: Final answer
    x = 64,603.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.