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Finding the Third Proportional to 22,362.47 and 31,343.91

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Solution

The third proportional to 22,362.47 and 31,343.91 is: 43,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362.47 : 31,343.91 = 31,343.91 : x
  2. Step 2: Convert to fraction form
    22,362.47/31,343.91 = 31,343.91/x
  3. Step 3: Cross multiply
    22,362.47x = 31,343.91 × 31,343.91
  4. Step 4: Simplify right side
    22,362.47x = 982,440,459.01
  5. Step 5: Solve for x
    x = 982,440,459.01/22,362.47
  6. Step 6: Final answer
    x = 43,932.56

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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.