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Finding the Third Proportional to 23,754.62 and 51,643.93

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Solution

The third proportional to 23,754.62 and 51,643.93 is: 112,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.62 : 51,643.93 = 51,643.93 : x
  2. Step 2: Convert to fraction form
    23,754.62/51,643.93 = 51,643.93/x
  3. Step 3: Cross multiply
    23,754.62x = 51,643.93 × 51,643.93
  4. Step 4: Simplify right side
    23,754.62x = 2,667,095,877.04
  5. Step 5: Solve for x
    x = 2,667,095,877.04/23,754.62
  6. Step 6: Final answer
    x = 112,276.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.