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Finding the Third Proportional to 20,148.75 and 30,111.75

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Solution

The third proportional to 20,148.75 and 30,111.75 is: 45,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.75 : 30,111.75 = 30,111.75 : x
  2. Step 2: Convert to fraction form
    20,148.75/30,111.75 = 30,111.75/x
  3. Step 3: Cross multiply
    20,148.75x = 30,111.75 × 30,111.75
  4. Step 4: Simplify right side
    20,148.75x = 906,717,488.06
  5. Step 5: Solve for x
    x = 906,717,488.06/20,148.75
  6. Step 6: Final answer
    x = 45,001.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.