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Finding the Third Proportional to 32,395.50 and 52,899

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Solution

The third proportional to 32,395.50 and 52,899 is: 86,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,395.50 : 52,899 = 52,899 : x
  2. Step 2: Convert to fraction form
    32,395.50/52,899 = 52,899/x
  3. Step 3: Cross multiply
    32,395.50x = 52,899 × 52,899
  4. Step 4: Simplify right side
    32,395.50x = 2,798,304,201
  5. Step 5: Solve for x
    x = 2,798,304,201/32,395.50
  6. Step 6: Final answer
    x = 86,379.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.