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Finding the Third Proportional to 29,937 and 65,189

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Solution

The third proportional to 29,937 and 65,189 is: 141,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937 : 65,189 = 65,189 : x
  2. Step 2: Convert to fraction form
    29,937/65,189 = 65,189/x
  3. Step 3: Cross multiply
    29,937x = 65,189 × 65,189
  4. Step 4: Simplify right side
    29,937x = 4,249,605,721
  5. Step 5: Solve for x
    x = 4,249,605,721/29,937
  6. Step 6: Final answer
    x = 141,951.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.