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Finding the Third Proportional to 31,646 and 64,201

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Solution

The third proportional to 31,646 and 64,201 is: 130,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646 : 64,201 = 64,201 : x
  2. Step 2: Convert to fraction form
    31,646/64,201 = 64,201/x
  3. Step 3: Cross multiply
    31,646x = 64,201 × 64,201
  4. Step 4: Simplify right side
    31,646x = 4,121,768,401
  5. Step 5: Solve for x
    x = 4,121,768,401/31,646
  6. Step 6: Final answer
    x = 130,246.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.