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Finding the Third Proportional to 29,490 and 60,514

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Solution

The third proportional to 29,490 and 60,514 is: 124,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490 : 60,514 = 60,514 : x
  2. Step 2: Convert to fraction form
    29,490/60,514 = 60,514/x
  3. Step 3: Cross multiply
    29,490x = 60,514 × 60,514
  4. Step 4: Simplify right side
    29,490x = 3,661,944,196
  5. Step 5: Solve for x
    x = 3,661,944,196/29,490
  6. Step 6: Final answer
    x = 124,175.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.