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Finding the Third Proportional to 6,037 and 13,209

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Solution

The third proportional to 6,037 and 13,209 is: 28,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037 : 13,209 = 13,209 : x
  2. Step 2: Convert to fraction form
    6,037/13,209 = 13,209/x
  3. Step 3: Cross multiply
    6,037x = 13,209 × 13,209
  4. Step 4: Simplify right side
    6,037x = 174,477,681
  5. Step 5: Solve for x
    x = 174,477,681/6,037
  6. Step 6: Final answer
    x = 28,901.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.