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Finding the Third Proportional to 11,596 and 27,346

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Solution

The third proportional to 11,596 and 27,346 is: 64,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 27,346 = 27,346 : x
  2. Step 2: Convert to fraction form
    11,596/27,346 = 27,346/x
  3. Step 3: Cross multiply
    11,596x = 27,346 × 27,346
  4. Step 4: Simplify right side
    11,596x = 747,803,716
  5. Step 5: Solve for x
    x = 747,803,716/11,596
  6. Step 6: Final answer
    x = 64,488.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.