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Finding the Third Proportional to 22,651.31 and 52,663.50

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Solution

The third proportional to 22,651.31 and 52,663.50 is: 122,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.31 : 52,663.50 = 52,663.50 : x
  2. Step 2: Convert to fraction form
    22,651.31/52,663.50 = 52,663.50/x
  3. Step 3: Cross multiply
    22,651.31x = 52,663.50 × 52,663.50
  4. Step 4: Simplify right side
    22,651.31x = 2,773,444,232.25
  5. Step 5: Solve for x
    x = 2,773,444,232.25/22,651.31
  6. Step 6: Final answer
    x = 122,440.77

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.