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Finding the Third Proportional to 18,580 and 29,103

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Solution

The third proportional to 18,580 and 29,103 is: 45,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580 : 29,103 = 29,103 : x
  2. Step 2: Convert to fraction form
    18,580/29,103 = 29,103/x
  3. Step 3: Cross multiply
    18,580x = 29,103 × 29,103
  4. Step 4: Simplify right side
    18,580x = 846,984,609
  5. Step 5: Solve for x
    x = 846,984,609/18,580
  6. Step 6: Final answer
    x = 45,585.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.