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Finding the Third Proportional to 15,714 and 37,080

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Solution

The third proportional to 15,714 and 37,080 is: 87,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 37,080 = 37,080 : x
  2. Step 2: Convert to fraction form
    15,714/37,080 = 37,080/x
  3. Step 3: Cross multiply
    15,714x = 37,080 × 37,080
  4. Step 4: Simplify right side
    15,714x = 1,374,926,400
  5. Step 5: Solve for x
    x = 1,374,926,400/15,714
  6. Step 6: Final answer
    x = 87,496.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.