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Finding the Third Proportional to 9,894.66 and 15,301.41

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Solution

The third proportional to 9,894.66 and 15,301.41 is: 23,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.66 : 15,301.41 = 15,301.41 : x
  2. Step 2: Convert to fraction form
    9,894.66/15,301.41 = 15,301.41/x
  3. Step 3: Cross multiply
    9,894.66x = 15,301.41 × 15,301.41
  4. Step 4: Simplify right side
    9,894.66x = 234,133,033.23
  5. Step 5: Solve for x
    x = 234,133,033.23/9,894.66
  6. Step 6: Final answer
    x = 23,662.57

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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.