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Finding the Third Proportional to 39,872.25 and 61,205.63

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Solution

The third proportional to 39,872.25 and 61,205.63 is: 93,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872.25 : 61,205.63 = 61,205.63 : x
  2. Step 2: Convert to fraction form
    39,872.25/61,205.63 = 61,205.63/x
  3. Step 3: Cross multiply
    39,872.25x = 61,205.63 × 61,205.63
  4. Step 4: Simplify right side
    39,872.25x = 3,746,128,531.64
  5. Step 5: Solve for x
    x = 3,746,128,531.64/39,872.25
  6. Step 6: Final answer
    x = 93,953.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.