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Finding the Third Proportional to 29,714 and 61,894

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Solution

The third proportional to 29,714 and 61,894 is: 128,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714 : 61,894 = 61,894 : x
  2. Step 2: Convert to fraction form
    29,714/61,894 = 61,894/x
  3. Step 3: Cross multiply
    29,714x = 61,894 × 61,894
  4. Step 4: Simplify right side
    29,714x = 3,830,867,236
  5. Step 5: Solve for x
    x = 3,830,867,236/29,714
  6. Step 6: Final answer
    x = 128,924.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.