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Finding the Third Proportional to 23,378 and 35,310

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Solution

The third proportional to 23,378 and 35,310 is: 53,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378 : 35,310 = 35,310 : x
  2. Step 2: Convert to fraction form
    23,378/35,310 = 35,310/x
  3. Step 3: Cross multiply
    23,378x = 35,310 × 35,310
  4. Step 4: Simplify right side
    23,378x = 1,246,796,100
  5. Step 5: Solve for x
    x = 1,246,796,100/23,378
  6. Step 6: Final answer
    x = 53,332.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.