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Finding the Third Proportional to 27,920 and 56,650

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Solution

The third proportional to 27,920 and 56,650 is: 114,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920 : 56,650 = 56,650 : x
  2. Step 2: Convert to fraction form
    27,920/56,650 = 56,650/x
  3. Step 3: Cross multiply
    27,920x = 56,650 × 56,650
  4. Step 4: Simplify right side
    27,920x = 3,209,222,500
  5. Step 5: Solve for x
    x = 3,209,222,500/27,920
  6. Step 6: Final answer
    x = 114,943.50

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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.