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Finding the Third Proportional to 34,720 and 74,714

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Solution

The third proportional to 34,720 and 74,714 is: 160,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,720 : 74,714 = 74,714 : x
  2. Step 2: Convert to fraction form
    34,720/74,714 = 74,714/x
  3. Step 3: Cross multiply
    34,720x = 74,714 × 74,714
  4. Step 4: Simplify right side
    34,720x = 5,582,181,796
  5. Step 5: Solve for x
    x = 5,582,181,796/34,720
  6. Step 6: Final answer
    x = 160,777.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.