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Finding the Third Proportional to 29,750 and 64,684

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Solution

The third proportional to 29,750 and 64,684 is: 140,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750 : 64,684 = 64,684 : x
  2. Step 2: Convert to fraction form
    29,750/64,684 = 64,684/x
  3. Step 3: Cross multiply
    29,750x = 64,684 × 64,684
  4. Step 4: Simplify right side
    29,750x = 4,184,019,856
  5. Step 5: Solve for x
    x = 4,184,019,856/29,750
  6. Step 6: Final answer
    x = 140,639.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.