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Finding the Third Proportional to 47,646 and 101,454.75

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Solution

The third proportional to 47,646 and 101,454.75 is: 216,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646 : 101,454.75 = 101,454.75 : x
  2. Step 2: Convert to fraction form
    47,646/101,454.75 = 101,454.75/x
  3. Step 3: Cross multiply
    47,646x = 101,454.75 × 101,454.75
  4. Step 4: Simplify right side
    47,646x = 10,293,066,297.56
  5. Step 5: Solve for x
    x = 10,293,066,297.56/47,646
  6. Step 6: Final answer
    x = 216,032.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.