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Finding the Third Proportional to 32,790 and 50,409

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Solution

The third proportional to 32,790 and 50,409 is: 77,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,790 : 50,409 = 50,409 : x
  2. Step 2: Convert to fraction form
    32,790/50,409 = 50,409/x
  3. Step 3: Cross multiply
    32,790x = 50,409 × 50,409
  4. Step 4: Simplify right side
    32,790x = 2,541,067,281
  5. Step 5: Solve for x
    x = 2,541,067,281/32,790
  6. Step 6: Final answer
    x = 77,495.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.