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Finding the Third Proportional to 32,715 and 50,346

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Solution

The third proportional to 32,715 and 50,346 is: 77,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715 : 50,346 = 50,346 : x
  2. Step 2: Convert to fraction form
    32,715/50,346 = 50,346/x
  3. Step 3: Cross multiply
    32,715x = 50,346 × 50,346
  4. Step 4: Simplify right side
    32,715x = 2,534,719,716
  5. Step 5: Solve for x
    x = 2,534,719,716/32,715
  6. Step 6: Final answer
    x = 77,478.82

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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.