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Finding the Third Proportional to 35,655 and 49,848

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Solution

The third proportional to 35,655 and 49,848 is: 69,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655 : 49,848 = 49,848 : x
  2. Step 2: Convert to fraction form
    35,655/49,848 = 49,848/x
  3. Step 3: Cross multiply
    35,655x = 49,848 × 49,848
  4. Step 4: Simplify right side
    35,655x = 2,484,823,104
  5. Step 5: Solve for x
    x = 2,484,823,104/35,655
  6. Step 6: Final answer
    x = 69,690.73

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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.