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Finding the Third Proportional to 29,694 and 64,074

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Solution

The third proportional to 29,694 and 64,074 is: 138,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694 : 64,074 = 64,074 : x
  2. Step 2: Convert to fraction form
    29,694/64,074 = 64,074/x
  3. Step 3: Cross multiply
    29,694x = 64,074 × 64,074
  4. Step 4: Simplify right side
    29,694x = 4,105,477,476
  5. Step 5: Solve for x
    x = 4,105,477,476/29,694
  6. Step 6: Final answer
    x = 138,259.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.