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Finding the Third Proportional to 10,433.81 and 15,172.31

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Solution

The third proportional to 10,433.81 and 15,172.31 is: 22,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.81 : 15,172.31 = 15,172.31 : x
  2. Step 2: Convert to fraction form
    10,433.81/15,172.31 = 15,172.31/x
  3. Step 3: Cross multiply
    10,433.81x = 15,172.31 × 15,172.31
  4. Step 4: Simplify right side
    10,433.81x = 230,199,066.60
  5. Step 5: Solve for x
    x = 230,199,066.60/10,433.81
  6. Step 6: Final answer
    x = 22,062.80

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.