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Finding the Third Proportional to 26,354 and 63,514

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Solution

The third proportional to 26,354 and 63,514 is: 153,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354 : 63,514 = 63,514 : x
  2. Step 2: Convert to fraction form
    26,354/63,514 = 63,514/x
  3. Step 3: Cross multiply
    26,354x = 63,514 × 63,514
  4. Step 4: Simplify right side
    26,354x = 4,034,028,196
  5. Step 5: Solve for x
    x = 4,034,028,196/26,354
  6. Step 6: Final answer
    x = 153,070.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.