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Finding the Third Proportional to 29,347 and 61,933

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Solution

The third proportional to 29,347 and 61,933 is: 130,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,347 : 61,933 = 61,933 : x
  2. Step 2: Convert to fraction form
    29,347/61,933 = 61,933/x
  3. Step 3: Cross multiply
    29,347x = 61,933 × 61,933
  4. Step 4: Simplify right side
    29,347x = 3,835,696,489
  5. Step 5: Solve for x
    x = 3,835,696,489/29,347
  6. Step 6: Final answer
    x = 130,701.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.