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Finding the Third Proportional to 17,440 and 24,916

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Solution

The third proportional to 17,440 and 24,916 is: 35,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,440 : 24,916 = 24,916 : x
  2. Step 2: Convert to fraction form
    17,440/24,916 = 24,916/x
  3. Step 3: Cross multiply
    17,440x = 24,916 × 24,916
  4. Step 4: Simplify right side
    17,440x = 620,807,056
  5. Step 5: Solve for x
    x = 620,807,056/17,440
  6. Step 6: Final answer
    x = 35,596.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.