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Finding the Third Proportional to 15,880 and 23,356

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Solution

The third proportional to 15,880 and 23,356 is: 34,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 23,356 = 23,356 : x
  2. Step 2: Convert to fraction form
    15,880/23,356 = 23,356/x
  3. Step 3: Cross multiply
    15,880x = 23,356 × 23,356
  4. Step 4: Simplify right side
    15,880x = 545,502,736
  5. Step 5: Solve for x
    x = 545,502,736/15,880
  6. Step 6: Final answer
    x = 34,351.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.