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Finding the Third Proportional to 2,107 and 4,537

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Solution

The third proportional to 2,107 and 4,537 is: 9,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107 : 4,537 = 4,537 : x
  2. Step 2: Convert to fraction form
    2,107/4,537 = 4,537/x
  3. Step 3: Cross multiply
    2,107x = 4,537 × 4,537
  4. Step 4: Simplify right side
    2,107x = 20,584,369
  5. Step 5: Solve for x
    x = 20,584,369/2,107
  6. Step 6: Final answer
    x = 9,769.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.