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Finding the Third Proportional to 27,319 and 58,309

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Solution

The third proportional to 27,319 and 58,309 is: 124,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,319 : 58,309 = 58,309 : x
  2. Step 2: Convert to fraction form
    27,319/58,309 = 58,309/x
  3. Step 3: Cross multiply
    27,319x = 58,309 × 58,309
  4. Step 4: Simplify right side
    27,319x = 3,399,939,481
  5. Step 5: Solve for x
    x = 3,399,939,481/27,319
  6. Step 6: Final answer
    x = 124,453.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.