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Finding the Third Proportional to 23,701.50 and 51,553.50

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Solution

The third proportional to 23,701.50 and 51,553.50 is: 112,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.50 : 51,553.50 = 51,553.50 : x
  2. Step 2: Convert to fraction form
    23,701.50/51,553.50 = 51,553.50/x
  3. Step 3: Cross multiply
    23,701.50x = 51,553.50 × 51,553.50
  4. Step 4: Simplify right side
    23,701.50x = 2,657,763,362.25
  5. Step 5: Solve for x
    x = 2,657,763,362.25/23,701.50
  6. Step 6: Final answer
    x = 112,134.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.