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Finding the Third Proportional to 27,268 and 59,656

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Solution

The third proportional to 27,268 and 59,656 is: 130,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268 : 59,656 = 59,656 : x
  2. Step 2: Convert to fraction form
    27,268/59,656 = 59,656/x
  3. Step 3: Cross multiply
    27,268x = 59,656 × 59,656
  4. Step 4: Simplify right side
    27,268x = 3,558,838,336
  5. Step 5: Solve for x
    x = 3,558,838,336/27,268
  6. Step 6: Final answer
    x = 130,513.36

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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.