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Finding the Third Proportional to 22,435.50 and 31,436.25

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Solution

The third proportional to 22,435.50 and 31,436.25 is: 44,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.50 : 31,436.25 = 31,436.25 : x
  2. Step 2: Convert to fraction form
    22,435.50/31,436.25 = 31,436.25/x
  3. Step 3: Cross multiply
    22,435.50x = 31,436.25 × 31,436.25
  4. Step 4: Simplify right side
    22,435.50x = 988,237,814.06
  5. Step 5: Solve for x
    x = 988,237,814.06/22,435.50
  6. Step 6: Final answer
    x = 44,047.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.