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Finding the Third Proportional to 2,209 and 5,037

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Solution

The third proportional to 2,209 and 5,037 is: 11,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 5,037 = 5,037 : x
  2. Step 2: Convert to fraction form
    2,209/5,037 = 5,037/x
  3. Step 3: Cross multiply
    2,209x = 5,037 × 5,037
  4. Step 4: Simplify right side
    2,209x = 25,371,369
  5. Step 5: Solve for x
    x = 25,371,369/2,209
  6. Step 6: Final answer
    x = 11,485.45

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.