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Finding the Third Proportional to 39,646.13 and 89,758.13

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Solution

The third proportional to 39,646.13 and 89,758.13 is: 203,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.13 : 89,758.13 = 89,758.13 : x
  2. Step 2: Convert to fraction form
    39,646.13/89,758.13 = 89,758.13/x
  3. Step 3: Cross multiply
    39,646.13x = 89,758.13 × 89,758.13
  4. Step 4: Simplify right side
    39,646.13x = 8,056,521,003.52
  5. Step 5: Solve for x
    x = 8,056,521,003.52/39,646.13
  6. Step 6: Final answer
    x = 203,210.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.