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Finding the Third Proportional to 10,284 and 15,889

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Solution

The third proportional to 10,284 and 15,889 is: 24,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 15,889 = 15,889 : x
  2. Step 2: Convert to fraction form
    10,284/15,889 = 15,889/x
  3. Step 3: Cross multiply
    10,284x = 15,889 × 15,889
  4. Step 4: Simplify right side
    10,284x = 252,460,321
  5. Step 5: Solve for x
    x = 252,460,321/10,284
  6. Step 6: Final answer
    x = 24,548.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.