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Finding the Third Proportional to 23,002.10 and 49,527.70

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Solution

The third proportional to 23,002.10 and 49,527.70 is: 106,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.10 : 49,527.70 = 49,527.70 : x
  2. Step 2: Convert to fraction form
    23,002.10/49,527.70 = 49,527.70/x
  3. Step 3: Cross multiply
    23,002.10x = 49,527.70 × 49,527.70
  4. Step 4: Simplify right side
    23,002.10x = 2,452,993,376.84
  5. Step 5: Solve for x
    x = 2,452,993,376.84/23,002.10
  6. Step 6: Final answer
    x = 106,642.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.