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Finding the Third Proportional to 39,671.25 and 61,466.25

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Solution

The third proportional to 39,671.25 and 61,466.25 is: 95,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671.25 : 61,466.25 = 61,466.25 : x
  2. Step 2: Convert to fraction form
    39,671.25/61,466.25 = 61,466.25/x
  3. Step 3: Cross multiply
    39,671.25x = 61,466.25 × 61,466.25
  4. Step 4: Simplify right side
    39,671.25x = 3,778,099,889.06
  5. Step 5: Solve for x
    x = 3,778,099,889.06/39,671.25
  6. Step 6: Final answer
    x = 95,235.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.