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Finding the Third Proportional to 27,346 and 56,588

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Solution

The third proportional to 27,346 and 56,588 is: 117,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346 : 56,588 = 56,588 : x
  2. Step 2: Convert to fraction form
    27,346/56,588 = 56,588/x
  3. Step 3: Cross multiply
    27,346x = 56,588 × 56,588
  4. Step 4: Simplify right side
    27,346x = 3,202,201,744
  5. Step 5: Solve for x
    x = 3,202,201,744/27,346
  6. Step 6: Final answer
    x = 117,099.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.