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Finding the Third Proportional to 29,586 and 45,900

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Solution

The third proportional to 29,586 and 45,900 is: 71,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 45,900 = 45,900 : x
  2. Step 2: Convert to fraction form
    29,586/45,900 = 45,900/x
  3. Step 3: Cross multiply
    29,586x = 45,900 × 45,900
  4. Step 4: Simplify right side
    29,586x = 2,106,810,000
  5. Step 5: Solve for x
    x = 2,106,810,000/29,586
  6. Step 6: Final answer
    x = 71,209.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.