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Finding the Third Proportional to 39,953.25 and 84,832.88

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Solution

The third proportional to 39,953.25 and 84,832.88 is: 180,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,953.25 : 84,832.88 = 84,832.88 : x
  2. Step 2: Convert to fraction form
    39,953.25/84,832.88 = 84,832.88/x
  3. Step 3: Cross multiply
    39,953.25x = 84,832.88 × 84,832.88
  4. Step 4: Simplify right side
    39,953.25x = 7,196,616,680.77
  5. Step 5: Solve for x
    x = 7,196,616,680.77/39,953.25
  6. Step 6: Final answer
    x = 180,125.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.