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Finding the Third Proportional to 22,113 and 35,584.31

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Solution

The third proportional to 22,113 and 35,584.31 is: 57,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113 : 35,584.31 = 35,584.31 : x
  2. Step 2: Convert to fraction form
    22,113/35,584.31 = 35,584.31/x
  3. Step 3: Cross multiply
    22,113x = 35,584.31 × 35,584.31
  4. Step 4: Simplify right side
    22,113x = 1,266,243,296.10
  5. Step 5: Solve for x
    x = 1,266,243,296.10/22,113
  6. Step 6: Final answer
    x = 57,262.39

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.