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Finding the Third Proportional to 40,415 and 87,826

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Solution

The third proportional to 40,415 and 87,826 is: 190,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,415 : 87,826 = 87,826 : x
  2. Step 2: Convert to fraction form
    40,415/87,826 = 87,826/x
  3. Step 3: Cross multiply
    40,415x = 87,826 × 87,826
  4. Step 4: Simplify right side
    40,415x = 7,713,406,276
  5. Step 5: Solve for x
    x = 7,713,406,276/40,415
  6. Step 6: Final answer
    x = 190,855.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.