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Finding the Third Proportional to 22,459.50 and 31,896

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Solution

The third proportional to 22,459.50 and 31,896 is: 45,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.50 : 31,896 = 31,896 : x
  2. Step 2: Convert to fraction form
    22,459.50/31,896 = 31,896/x
  3. Step 3: Cross multiply
    22,459.50x = 31,896 × 31,896
  4. Step 4: Simplify right side
    22,459.50x = 1,017,354,816
  5. Step 5: Solve for x
    x = 1,017,354,816/22,459.50
  6. Step 6: Final answer
    x = 45,297.30

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.