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Finding the Third Proportional to 21,933.38 and 31,259.75

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Solution

The third proportional to 21,933.38 and 31,259.75 is: 44,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933.38 : 31,259.75 = 31,259.75 : x
  2. Step 2: Convert to fraction form
    21,933.38/31,259.75 = 31,259.75/x
  3. Step 3: Cross multiply
    21,933.38x = 31,259.75 × 31,259.75
  4. Step 4: Simplify right side
    21,933.38x = 977,171,970.06
  5. Step 5: Solve for x
    x = 977,171,970.06/21,933.38
  6. Step 6: Final answer
    x = 44,551.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.