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Finding the Third Proportional to 9,815.87 and 14,019.01

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Solution

The third proportional to 9,815.87 and 14,019.01 is: 20,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.87 : 14,019.01 = 14,019.01 : x
  2. Step 2: Convert to fraction form
    9,815.87/14,019.01 = 14,019.01/x
  3. Step 3: Cross multiply
    9,815.87x = 14,019.01 × 14,019.01
  4. Step 4: Simplify right side
    9,815.87x = 196,532,689.57
  5. Step 5: Solve for x
    x = 196,532,689.57/9,815.87
  6. Step 6: Final answer
    x = 20,021.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.