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Finding the Third Proportional to 13,499 and 28,037

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Solution

The third proportional to 13,499 and 28,037 is: 58,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499 : 28,037 = 28,037 : x
  2. Step 2: Convert to fraction form
    13,499/28,037 = 28,037/x
  3. Step 3: Cross multiply
    13,499x = 28,037 × 28,037
  4. Step 4: Simplify right side
    13,499x = 786,073,369
  5. Step 5: Solve for x
    x = 786,073,369/13,499
  6. Step 6: Final answer
    x = 58,231.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.