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Finding the Third Proportional to 10,444 and 15,774

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Solution

The third proportional to 10,444 and 15,774 is: 23,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 15,774 = 15,774 : x
  2. Step 2: Convert to fraction form
    10,444/15,774 = 15,774/x
  3. Step 3: Cross multiply
    10,444x = 15,774 × 15,774
  4. Step 4: Simplify right side
    10,444x = 248,819,076
  5. Step 5: Solve for x
    x = 248,819,076/10,444
  6. Step 6: Final answer
    x = 23,824.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.