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Finding the Third Proportional to 18,506.25 and 39,967.88

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Solution

The third proportional to 18,506.25 and 39,967.88 is: 86,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.25 : 39,967.88 = 39,967.88 : x
  2. Step 2: Convert to fraction form
    18,506.25/39,967.88 = 39,967.88/x
  3. Step 3: Cross multiply
    18,506.25x = 39,967.88 × 39,967.88
  4. Step 4: Simplify right side
    18,506.25x = 1,597,431,032.02
  5. Step 5: Solve for x
    x = 1,597,431,032.02/18,506.25
  6. Step 6: Final answer
    x = 86,318.46

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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.