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Finding the Third Proportional to 4,661.02 and 9,085.78

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Solution

The third proportional to 4,661.02 and 9,085.78 is: 17,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.02 : 9,085.78 = 9,085.78 : x
  2. Step 2: Convert to fraction form
    4,661.02/9,085.78 = 9,085.78/x
  3. Step 3: Cross multiply
    4,661.02x = 9,085.78 × 9,085.78
  4. Step 4: Simplify right side
    4,661.02x = 82,551,420.92
  5. Step 5: Solve for x
    x = 82,551,420.92/4,661.02
  6. Step 6: Final answer
    x = 17,711.04

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.