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Finding the Third Proportional to 29,708 and 44,562

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Solution

The third proportional to 29,708 and 44,562 is: 66,843

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708 : 44,562 = 44,562 : x
  2. Step 2: Convert to fraction form
    29,708/44,562 = 44,562/x
  3. Step 3: Cross multiply
    29,708x = 44,562 × 44,562
  4. Step 4: Simplify right side
    29,708x = 1,985,771,844
  5. Step 5: Solve for x
    x = 1,985,771,844/29,708
  6. Step 6: Final answer
    x = 66,843

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.