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Finding the Third Proportional to 35,114 and 49,686

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Solution

The third proportional to 35,114 and 49,686 is: 70,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114 : 49,686 = 49,686 : x
  2. Step 2: Convert to fraction form
    35,114/49,686 = 49,686/x
  3. Step 3: Cross multiply
    35,114x = 49,686 × 49,686
  4. Step 4: Simplify right side
    35,114x = 2,468,698,596
  5. Step 5: Solve for x
    x = 2,468,698,596/35,114
  6. Step 6: Final answer
    x = 70,305.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.