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Finding the Third Proportional to 36,490 and 75,714

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Solution

The third proportional to 36,490 and 75,714 is: 157,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,490 : 75,714 = 75,714 : x
  2. Step 2: Convert to fraction form
    36,490/75,714 = 75,714/x
  3. Step 3: Cross multiply
    36,490x = 75,714 × 75,714
  4. Step 4: Simplify right side
    36,490x = 5,732,609,796
  5. Step 5: Solve for x
    x = 5,732,609,796/36,490
  6. Step 6: Final answer
    x = 157,100.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.