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Finding the Third Proportional to 15,640 and 22,349

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Solution

The third proportional to 15,640 and 22,349 is: 31,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640 : 22,349 = 22,349 : x
  2. Step 2: Convert to fraction form
    15,640/22,349 = 22,349/x
  3. Step 3: Cross multiply
    15,640x = 22,349 × 22,349
  4. Step 4: Simplify right side
    15,640x = 499,477,801
  5. Step 5: Solve for x
    x = 499,477,801/15,640
  6. Step 6: Final answer
    x = 31,935.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.