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Finding the Third Proportional to 29,032 and 44,684

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Solution

The third proportional to 29,032 and 44,684 is: 68,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032 : 44,684 = 44,684 : x
  2. Step 2: Convert to fraction form
    29,032/44,684 = 44,684/x
  3. Step 3: Cross multiply
    29,032x = 44,684 × 44,684
  4. Step 4: Simplify right side
    29,032x = 1,996,659,856
  5. Step 5: Solve for x
    x = 1,996,659,856/29,032
  6. Step 6: Final answer
    x = 68,774.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.