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Finding the Third Proportional to 34,714 and 77,492

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Solution

The third proportional to 34,714 and 77,492 is: 172,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714 : 77,492 = 77,492 : x
  2. Step 2: Convert to fraction form
    34,714/77,492 = 77,492/x
  3. Step 3: Cross multiply
    34,714x = 77,492 × 77,492
  4. Step 4: Simplify right side
    34,714x = 6,005,010,064
  5. Step 5: Solve for x
    x = 6,005,010,064/34,714
  6. Step 6: Final answer
    x = 172,985.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.