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Finding the Third Proportional to 21,188.25 and 31,134.38

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Solution

The third proportional to 21,188.25 and 31,134.38 is: 45,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.25 : 31,134.38 = 31,134.38 : x
  2. Step 2: Convert to fraction form
    21,188.25/31,134.38 = 31,134.38/x
  3. Step 3: Cross multiply
    21,188.25x = 31,134.38 × 31,134.38
  4. Step 4: Simplify right side
    21,188.25x = 969,349,306.64
  5. Step 5: Solve for x
    x = 969,349,306.64/21,188.25
  6. Step 6: Final answer
    x = 45,749.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.