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Finding the Third Proportional to 35,557 and 57,278

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Solution

The third proportional to 35,557 and 57,278 is: 92,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,557 : 57,278 = 57,278 : x
  2. Step 2: Convert to fraction form
    35,557/57,278 = 57,278/x
  3. Step 3: Cross multiply
    35,557x = 57,278 × 57,278
  4. Step 4: Simplify right side
    35,557x = 3,280,769,284
  5. Step 5: Solve for x
    x = 3,280,769,284/35,557
  6. Step 6: Final answer
    x = 92,267.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.