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Finding the Third Proportional to 23,782 and 35,330

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Solution

The third proportional to 23,782 and 35,330 is: 52,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782 : 35,330 = 35,330 : x
  2. Step 2: Convert to fraction form
    23,782/35,330 = 35,330/x
  3. Step 3: Cross multiply
    23,782x = 35,330 × 35,330
  4. Step 4: Simplify right side
    23,782x = 1,248,208,900
  5. Step 5: Solve for x
    x = 1,248,208,900/23,782
  6. Step 6: Final answer
    x = 52,485.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.