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Finding the Third Proportional to 9,802.13 and 15,199.31

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Solution

The third proportional to 9,802.13 and 15,199.31 is: 23,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.13 : 15,199.31 = 15,199.31 : x
  2. Step 2: Convert to fraction form
    9,802.13/15,199.31 = 15,199.31/x
  3. Step 3: Cross multiply
    9,802.13x = 15,199.31 × 15,199.31
  4. Step 4: Simplify right side
    9,802.13x = 231,019,100.47
  5. Step 5: Solve for x
    x = 231,019,100.47/9,802.13
  6. Step 6: Final answer
    x = 23,568.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.