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Finding the Third Proportional to 9,987 and 13,162.50

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Solution

The third proportional to 9,987 and 13,162.50 is: 17,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987 : 13,162.50 = 13,162.50 : x
  2. Step 2: Convert to fraction form
    9,987/13,162.50 = 13,162.50/x
  3. Step 3: Cross multiply
    9,987x = 13,162.50 × 13,162.50
  4. Step 4: Simplify right side
    9,987x = 173,251,406.25
  5. Step 5: Solve for x
    x = 173,251,406.25/9,987
  6. Step 6: Final answer
    x = 17,347.69

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.