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Finding the Third Proportional to 15,550 and 23,916

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Solution

The third proportional to 15,550 and 23,916 is: 36,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,550 : 23,916 = 23,916 : x
  2. Step 2: Convert to fraction form
    15,550/23,916 = 23,916/x
  3. Step 3: Cross multiply
    15,550x = 23,916 × 23,916
  4. Step 4: Simplify right side
    15,550x = 571,975,056
  5. Step 5: Solve for x
    x = 571,975,056/15,550
  6. Step 6: Final answer
    x = 36,782.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.