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Finding the Third Proportional to 21,687.75 and 35,846.30

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Solution

The third proportional to 21,687.75 and 35,846.30 is: 59,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.75 : 35,846.30 = 35,846.30 : x
  2. Step 2: Convert to fraction form
    21,687.75/35,846.30 = 35,846.30/x
  3. Step 3: Cross multiply
    21,687.75x = 35,846.30 × 35,846.30
  4. Step 4: Simplify right side
    21,687.75x = 1,284,956,999.65
  5. Step 5: Solve for x
    x = 1,284,956,999.65/21,687.75
  6. Step 6: Final answer
    x = 59,248.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.