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Finding the Third Proportional to 27,720 and 56,412

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Solution

The third proportional to 27,720 and 56,412 is: 114,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 56,412 = 56,412 : x
  2. Step 2: Convert to fraction form
    27,720/56,412 = 56,412/x
  3. Step 3: Cross multiply
    27,720x = 56,412 × 56,412
  4. Step 4: Simplify right side
    27,720x = 3,182,313,744
  5. Step 5: Solve for x
    x = 3,182,313,744/27,720
  6. Step 6: Final answer
    x = 114,802.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.