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Finding the Third Proportional to 9,547.50 and 20,067

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Solution

The third proportional to 9,547.50 and 20,067 is: 42,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.50 : 20,067 = 20,067 : x
  2. Step 2: Convert to fraction form
    9,547.50/20,067 = 20,067/x
  3. Step 3: Cross multiply
    9,547.50x = 20,067 × 20,067
  4. Step 4: Simplify right side
    9,547.50x = 402,684,489
  5. Step 5: Solve for x
    x = 402,684,489/9,547.50
  6. Step 6: Final answer
    x = 42,176.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.