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Finding the Third Proportional to 29,835 and 64,341

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Solution

The third proportional to 29,835 and 64,341 is: 138,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 64,341 = 64,341 : x
  2. Step 2: Convert to fraction form
    29,835/64,341 = 64,341/x
  3. Step 3: Cross multiply
    29,835x = 64,341 × 64,341
  4. Step 4: Simplify right side
    29,835x = 4,139,764,281
  5. Step 5: Solve for x
    x = 4,139,764,281/29,835
  6. Step 6: Final answer
    x = 138,755.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.