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Finding the Third Proportional to 5,900 and 9,209

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Solution

The third proportional to 5,900 and 9,209 is: 14,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900 : 9,209 = 9,209 : x
  2. Step 2: Convert to fraction form
    5,900/9,209 = 9,209/x
  3. Step 3: Cross multiply
    5,900x = 9,209 × 9,209
  4. Step 4: Simplify right side
    5,900x = 84,805,681
  5. Step 5: Solve for x
    x = 84,805,681/5,900
  6. Step 6: Final answer
    x = 14,373.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.