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Finding the Third Proportional to 37,520.72 and 65,746.69

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Solution

The third proportional to 37,520.72 and 65,746.69 is: 115,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,520.72 : 65,746.69 = 65,746.69 : x
  2. Step 2: Convert to fraction form
    37,520.72/65,746.69 = 65,746.69/x
  3. Step 3: Cross multiply
    37,520.72x = 65,746.69 × 65,746.69
  4. Step 4: Simplify right side
    37,520.72x = 4,322,626,917.22
  5. Step 5: Solve for x
    x = 4,322,626,917.22/37,520.72
  6. Step 6: Final answer
    x = 115,206.40

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.