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Finding the Third Proportional to 29,694 and 65,460

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Solution

The third proportional to 29,694 and 65,460 is: 144,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694 : 65,460 = 65,460 : x
  2. Step 2: Convert to fraction form
    29,694/65,460 = 65,460/x
  3. Step 3: Cross multiply
    29,694x = 65,460 × 65,460
  4. Step 4: Simplify right side
    29,694x = 4,285,011,600
  5. Step 5: Solve for x
    x = 4,285,011,600/29,694
  6. Step 6: Final answer
    x = 144,305.64

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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.