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Finding the Third Proportional to 40,277.25 and 61,472.25

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Solution

The third proportional to 40,277.25 and 61,472.25 is: 93,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,277.25 : 61,472.25 = 61,472.25 : x
  2. Step 2: Convert to fraction form
    40,277.25/61,472.25 = 61,472.25/x
  3. Step 3: Cross multiply
    40,277.25x = 61,472.25 × 61,472.25
  4. Step 4: Simplify right side
    40,277.25x = 3,778,837,520.06
  5. Step 5: Solve for x
    x = 3,778,837,520.06/40,277.25
  6. Step 6: Final answer
    x = 93,820.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.