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Finding the Third Proportional to 29,409 and 64,338

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Solution

The third proportional to 29,409 and 64,338 is: 140,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409 : 64,338 = 64,338 : x
  2. Step 2: Convert to fraction form
    29,409/64,338 = 64,338/x
  3. Step 3: Cross multiply
    29,409x = 64,338 × 64,338
  4. Step 4: Simplify right side
    29,409x = 4,139,378,244
  5. Step 5: Solve for x
    x = 4,139,378,244/29,409
  6. Step 6: Final answer
    x = 140,752.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.