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Finding the Third Proportional to 10,374 and 15,945

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Solution

The third proportional to 10,374 and 15,945 is: 24,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374 : 15,945 = 15,945 : x
  2. Step 2: Convert to fraction form
    10,374/15,945 = 15,945/x
  3. Step 3: Cross multiply
    10,374x = 15,945 × 15,945
  4. Step 4: Simplify right side
    10,374x = 254,243,025
  5. Step 5: Solve for x
    x = 254,243,025/10,374
  6. Step 6: Final answer
    x = 24,507.71

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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.