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Finding the Third Proportional to 10,199.50 and 21,887

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Solution

The third proportional to 10,199.50 and 21,887 is: 46,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.50 : 21,887 = 21,887 : x
  2. Step 2: Convert to fraction form
    10,199.50/21,887 = 21,887/x
  3. Step 3: Cross multiply
    10,199.50x = 21,887 × 21,887
  4. Step 4: Simplify right side
    10,199.50x = 479,040,769
  5. Step 5: Solve for x
    x = 479,040,769/10,199.50
  6. Step 6: Final answer
    x = 46,967.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.