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Finding the Third Proportional to 34,600 and 53,514

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Solution

The third proportional to 34,600 and 53,514 is: 82,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,600 : 53,514 = 53,514 : x
  2. Step 2: Convert to fraction form
    34,600/53,514 = 53,514/x
  3. Step 3: Cross multiply
    34,600x = 53,514 × 53,514
  4. Step 4: Simplify right side
    34,600x = 2,863,748,196
  5. Step 5: Solve for x
    x = 2,863,748,196/34,600
  6. Step 6: Final answer
    x = 82,767.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.