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Finding the Third Proportional to 20,416 and 37,916

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Solution

The third proportional to 20,416 and 37,916 is: 70,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 37,916 = 37,916 : x
  2. Step 2: Convert to fraction form
    20,416/37,916 = 37,916/x
  3. Step 3: Cross multiply
    20,416x = 37,916 × 37,916
  4. Step 4: Simplify right side
    20,416x = 1,437,623,056
  5. Step 5: Solve for x
    x = 1,437,623,056/20,416
  6. Step 6: Final answer
    x = 70,416.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.