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Finding the Third Proportional to 32,134 and 48,653

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Solution

The third proportional to 32,134 and 48,653 is: 73,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134 : 48,653 = 48,653 : x
  2. Step 2: Convert to fraction form
    32,134/48,653 = 48,653/x
  3. Step 3: Cross multiply
    32,134x = 48,653 × 48,653
  4. Step 4: Simplify right side
    32,134x = 2,367,114,409
  5. Step 5: Solve for x
    x = 2,367,114,409/32,134
  6. Step 6: Final answer
    x = 73,663.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.