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Finding the Third Proportional to 2,089 and 4,346

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Solution

The third proportional to 2,089 and 4,346 is: 9,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089 : 4,346 = 4,346 : x
  2. Step 2: Convert to fraction form
    2,089/4,346 = 4,346/x
  3. Step 3: Cross multiply
    2,089x = 4,346 × 4,346
  4. Step 4: Simplify right side
    2,089x = 18,887,716
  5. Step 5: Solve for x
    x = 18,887,716/2,089
  6. Step 6: Final answer
    x = 9,041.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.