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Finding the Third Proportional to 23,366 and 31,484

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Solution

The third proportional to 23,366 and 31,484 is: 42,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366 : 31,484 = 31,484 : x
  2. Step 2: Convert to fraction form
    23,366/31,484 = 31,484/x
  3. Step 3: Cross multiply
    23,366x = 31,484 × 31,484
  4. Step 4: Simplify right side
    23,366x = 991,242,256
  5. Step 5: Solve for x
    x = 991,242,256/23,366
  6. Step 6: Final answer
    x = 42,422.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.