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Finding the Third Proportional to 22,816.50 and 53,299.50

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Solution

The third proportional to 22,816.50 and 53,299.50 is: 124,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.50 : 53,299.50 = 53,299.50 : x
  2. Step 2: Convert to fraction form
    22,816.50/53,299.50 = 53,299.50/x
  3. Step 3: Cross multiply
    22,816.50x = 53,299.50 × 53,299.50
  4. Step 4: Simplify right side
    22,816.50x = 2,840,836,700.25
  5. Step 5: Solve for x
    x = 2,840,836,700.25/22,816.50
  6. Step 6: Final answer
    x = 124,508.00

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.