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Finding the Third Proportional to 29,710 and 65,372

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Solution

The third proportional to 29,710 and 65,372 is: 143,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710 : 65,372 = 65,372 : x
  2. Step 2: Convert to fraction form
    29,710/65,372 = 65,372/x
  3. Step 3: Cross multiply
    29,710x = 65,372 × 65,372
  4. Step 4: Simplify right side
    29,710x = 4,273,498,384
  5. Step 5: Solve for x
    x = 4,273,498,384/29,710
  6. Step 6: Final answer
    x = 143,840.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.