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Finding the Third Proportional to 32,796 and 47,903

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Solution

The third proportional to 32,796 and 47,903 is: 69,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796 : 47,903 = 47,903 : x
  2. Step 2: Convert to fraction form
    32,796/47,903 = 47,903/x
  3. Step 3: Cross multiply
    32,796x = 47,903 × 47,903
  4. Step 4: Simplify right side
    32,796x = 2,294,697,409
  5. Step 5: Solve for x
    x = 2,294,697,409/32,796
  6. Step 6: Final answer
    x = 69,968.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.