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Finding the Third Proportional to 29,788 and 65,479.75

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Solution

The third proportional to 29,788 and 65,479.75 is: 143,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,788 : 65,479.75 = 65,479.75 : x
  2. Step 2: Convert to fraction form
    29,788/65,479.75 = 65,479.75/x
  3. Step 3: Cross multiply
    29,788x = 65,479.75 × 65,479.75
  4. Step 4: Simplify right side
    29,788x = 4,287,597,660.06
  5. Step 5: Solve for x
    x = 4,287,597,660.06/29,788
  6. Step 6: Final answer
    x = 143,937.08

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Why These Related Problems?

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