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Finding the Third Proportional to 15,550 and 17,764

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Solution

The third proportional to 15,550 and 17,764 is: 20,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,550 : 17,764 = 17,764 : x
  2. Step 2: Convert to fraction form
    15,550/17,764 = 17,764/x
  3. Step 3: Cross multiply
    15,550x = 17,764 × 17,764
  4. Step 4: Simplify right side
    15,550x = 315,559,696
  5. Step 5: Solve for x
    x = 315,559,696/15,550
  6. Step 6: Final answer
    x = 20,293.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.