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Finding the Third Proportional to 19,122.75 and 26,881.50

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Solution

The third proportional to 19,122.75 and 26,881.50 is: 37,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.75 : 26,881.50 = 26,881.50 : x
  2. Step 2: Convert to fraction form
    19,122.75/26,881.50 = 26,881.50/x
  3. Step 3: Cross multiply
    19,122.75x = 26,881.50 × 26,881.50
  4. Step 4: Simplify right side
    19,122.75x = 722,615,042.25
  5. Step 5: Solve for x
    x = 722,615,042.25/19,122.75
  6. Step 6: Final answer
    x = 37,788.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.