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Finding the Third Proportional to 34,827 and 75,486

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Solution

The third proportional to 34,827 and 75,486 is: 163,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,827 : 75,486 = 75,486 : x
  2. Step 2: Convert to fraction form
    34,827/75,486 = 75,486/x
  3. Step 3: Cross multiply
    34,827x = 75,486 × 75,486
  4. Step 4: Simplify right side
    34,827x = 5,698,136,196
  5. Step 5: Solve for x
    x = 5,698,136,196/34,827
  6. Step 6: Final answer
    x = 163,612.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.