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Finding the Third Proportional to 35,718 and 86,415

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Solution

The third proportional to 35,718 and 86,415 is: 209,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,718 : 86,415 = 86,415 : x
  2. Step 2: Convert to fraction form
    35,718/86,415 = 86,415/x
  3. Step 3: Cross multiply
    35,718x = 86,415 × 86,415
  4. Step 4: Simplify right side
    35,718x = 7,467,552,225
  5. Step 5: Solve for x
    x = 7,467,552,225/35,718
  6. Step 6: Final answer
    x = 209,069.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.