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Finding the Third Proportional to 10,925 and 23,407

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Solution

The third proportional to 10,925 and 23,407 is: 50,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925 : 23,407 = 23,407 : x
  2. Step 2: Convert to fraction form
    10,925/23,407 = 23,407/x
  3. Step 3: Cross multiply
    10,925x = 23,407 × 23,407
  4. Step 4: Simplify right side
    10,925x = 547,887,649
  5. Step 5: Solve for x
    x = 547,887,649/10,925
  6. Step 6: Final answer
    x = 50,149.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.