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Finding the Third Proportional to 40,972.08 and 65,404.97

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Solution

The third proportional to 40,972.08 and 65,404.97 is: 104,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,972.08 : 65,404.97 = 65,404.97 : x
  2. Step 2: Convert to fraction form
    40,972.08/65,404.97 = 65,404.97/x
  3. Step 3: Cross multiply
    40,972.08x = 65,404.97 × 65,404.97
  4. Step 4: Simplify right side
    40,972.08x = 4,277,809,937.19
  5. Step 5: Solve for x
    x = 4,277,809,937.19/40,972.08
  6. Step 6: Final answer
    x = 104,407.93

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Why These Related Problems?

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