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Finding the Third Proportional to 23,628.75 and 51,136.13

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Solution

The third proportional to 23,628.75 and 51,136.13 is: 110,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628.75 : 51,136.13 = 51,136.13 : x
  2. Step 2: Convert to fraction form
    23,628.75/51,136.13 = 51,136.13/x
  3. Step 3: Cross multiply
    23,628.75x = 51,136.13 × 51,136.13
  4. Step 4: Simplify right side
    23,628.75x = 2,614,903,280.02
  5. Step 5: Solve for x
    x = 2,614,903,280.02/23,628.75
  6. Step 6: Final answer
    x = 110,666.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.