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Finding the Third Proportional to 23,981.06 and 37,535.91

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Solution

The third proportional to 23,981.06 and 37,535.91 is: 58,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,981.06 : 37,535.91 = 37,535.91 : x
  2. Step 2: Convert to fraction form
    23,981.06/37,535.91 = 37,535.91/x
  3. Step 3: Cross multiply
    23,981.06x = 37,535.91 × 37,535.91
  4. Step 4: Simplify right side
    23,981.06x = 1,408,944,258.01
  5. Step 5: Solve for x
    x = 1,408,944,258.01/23,981.06
  6. Step 6: Final answer
    x = 58,752.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.