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Finding the Third Proportional to 26,100 and 39,514

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Solution

The third proportional to 26,100 and 39,514 is: 59,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,100 : 39,514 = 39,514 : x
  2. Step 2: Convert to fraction form
    26,100/39,514 = 39,514/x
  3. Step 3: Cross multiply
    26,100x = 39,514 × 39,514
  4. Step 4: Simplify right side
    26,100x = 1,561,356,196
  5. Step 5: Solve for x
    x = 1,561,356,196/26,100
  6. Step 6: Final answer
    x = 59,822.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.