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Finding the Third Proportional to 27,127 and 58,714

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Solution

The third proportional to 27,127 and 58,714 is: 127,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127 : 58,714 = 58,714 : x
  2. Step 2: Convert to fraction form
    27,127/58,714 = 58,714/x
  3. Step 3: Cross multiply
    27,127x = 58,714 × 58,714
  4. Step 4: Simplify right side
    27,127x = 3,447,333,796
  5. Step 5: Solve for x
    x = 3,447,333,796/27,127
  6. Step 6: Final answer
    x = 127,081.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.