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Finding the Third Proportional to 29,568 and 63,875

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Solution

The third proportional to 29,568 and 63,875 is: 137,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568 : 63,875 = 63,875 : x
  2. Step 2: Convert to fraction form
    29,568/63,875 = 63,875/x
  3. Step 3: Cross multiply
    29,568x = 63,875 × 63,875
  4. Step 4: Simplify right side
    29,568x = 4,080,015,625
  5. Step 5: Solve for x
    x = 4,080,015,625/29,568
  6. Step 6: Final answer
    x = 137,987.54

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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.