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Finding the Third Proportional to 22,261.50 and 31,448.25

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Solution

The third proportional to 22,261.50 and 31,448.25 is: 44,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.50 : 31,448.25 = 31,448.25 : x
  2. Step 2: Convert to fraction form
    22,261.50/31,448.25 = 31,448.25/x
  3. Step 3: Cross multiply
    22,261.50x = 31,448.25 × 31,448.25
  4. Step 4: Simplify right side
    22,261.50x = 988,992,428.06
  5. Step 5: Solve for x
    x = 988,992,428.06/22,261.50
  6. Step 6: Final answer
    x = 44,426.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.