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Finding the Third Proportional to 35,669 and 55,475

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Solution

The third proportional to 35,669 and 55,475 is: 86,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,669 : 55,475 = 55,475 : x
  2. Step 2: Convert to fraction form
    35,669/55,475 = 55,475/x
  3. Step 3: Cross multiply
    35,669x = 55,475 × 55,475
  4. Step 4: Simplify right side
    35,669x = 3,077,475,625
  5. Step 5: Solve for x
    x = 3,077,475,625/35,669
  6. Step 6: Final answer
    x = 86,278.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.