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Finding the Third Proportional to 27,952 and 56,714

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Solution

The third proportional to 27,952 and 56,714 is: 115,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952 : 56,714 = 56,714 : x
  2. Step 2: Convert to fraction form
    27,952/56,714 = 56,714/x
  3. Step 3: Cross multiply
    27,952x = 56,714 × 56,714
  4. Step 4: Simplify right side
    27,952x = 3,216,477,796
  5. Step 5: Solve for x
    x = 3,216,477,796/27,952
  6. Step 6: Final answer
    x = 115,071.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.