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Finding the Third Proportional to 35,392 and 49,586

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Solution

The third proportional to 35,392 and 49,586 is: 69,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,392 : 49,586 = 49,586 : x
  2. Step 2: Convert to fraction form
    35,392/49,586 = 49,586/x
  3. Step 3: Cross multiply
    35,392x = 49,586 × 49,586
  4. Step 4: Simplify right side
    35,392x = 2,458,771,396
  5. Step 5: Solve for x
    x = 2,458,771,396/35,392
  6. Step 6: Final answer
    x = 69,472.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.