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Finding the Third Proportional to 27,346 and 59,838

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Solution

The third proportional to 27,346 and 59,838 is: 130,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346 : 59,838 = 59,838 : x
  2. Step 2: Convert to fraction form
    27,346/59,838 = 59,838/x
  3. Step 3: Cross multiply
    27,346x = 59,838 × 59,838
  4. Step 4: Simplify right side
    27,346x = 3,580,586,244
  5. Step 5: Solve for x
    x = 3,580,586,244/27,346
  6. Step 6: Final answer
    x = 130,936.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.