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Finding the Third Proportional to 22,973 and 34,640

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Solution

The third proportional to 22,973 and 34,640 is: 52,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973 : 34,640 = 34,640 : x
  2. Step 2: Convert to fraction form
    22,973/34,640 = 34,640/x
  3. Step 3: Cross multiply
    22,973x = 34,640 × 34,640
  4. Step 4: Simplify right side
    22,973x = 1,199,929,600
  5. Step 5: Solve for x
    x = 1,199,929,600/22,973
  6. Step 6: Final answer
    x = 52,232.17

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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.