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Finding the Third Proportional to 19,391.13 and 31,111.38

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Solution

The third proportional to 19,391.13 and 31,111.38 is: 49,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391.13 : 31,111.38 = 31,111.38 : x
  2. Step 2: Convert to fraction form
    19,391.13/31,111.38 = 31,111.38/x
  3. Step 3: Cross multiply
    19,391.13x = 31,111.38 × 31,111.38
  4. Step 4: Simplify right side
    19,391.13x = 967,917,654.39
  5. Step 5: Solve for x
    x = 967,917,654.39/19,391.13
  6. Step 6: Final answer
    x = 49,915.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.