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Finding the Third Proportional to 30,598 and 41,288

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Solution

The third proportional to 30,598 and 41,288 is: 55,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598 : 41,288 = 41,288 : x
  2. Step 2: Convert to fraction form
    30,598/41,288 = 41,288/x
  3. Step 3: Cross multiply
    30,598x = 41,288 × 41,288
  4. Step 4: Simplify right side
    30,598x = 1,704,698,944
  5. Step 5: Solve for x
    x = 1,704,698,944/30,598
  6. Step 6: Final answer
    x = 55,712.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.