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Finding the Third Proportional to 2,083 and 4,297

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Solution

The third proportional to 2,083 and 4,297 is: 8,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083 : 4,297 = 4,297 : x
  2. Step 2: Convert to fraction form
    2,083/4,297 = 4,297/x
  3. Step 3: Cross multiply
    2,083x = 4,297 × 4,297
  4. Step 4: Simplify right side
    2,083x = 18,464,209
  5. Step 5: Solve for x
    x = 18,464,209/2,083
  6. Step 6: Final answer
    x = 8,864.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.