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Finding the Third Proportional to 29,844 and 65,013

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Solution

The third proportional to 29,844 and 65,013 is: 141,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844 : 65,013 = 65,013 : x
  2. Step 2: Convert to fraction form
    29,844/65,013 = 65,013/x
  3. Step 3: Cross multiply
    29,844x = 65,013 × 65,013
  4. Step 4: Simplify right side
    29,844x = 4,226,690,169
  5. Step 5: Solve for x
    x = 4,226,690,169/29,844
  6. Step 6: Final answer
    x = 141,626.13

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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.