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Finding the Third Proportional to 23,297 and 31,040

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Solution

The third proportional to 23,297 and 31,040 is: 41,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297 : 31,040 = 31,040 : x
  2. Step 2: Convert to fraction form
    23,297/31,040 = 31,040/x
  3. Step 3: Cross multiply
    23,297x = 31,040 × 31,040
  4. Step 4: Simplify right side
    23,297x = 963,481,600
  5. Step 5: Solve for x
    x = 963,481,600/23,297
  6. Step 6: Final answer
    x = 41,356.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.