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Finding the Third Proportional to 14,534 and 21,558

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Solution

The third proportional to 14,534 and 21,558 is: 31,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534 : 21,558 = 21,558 : x
  2. Step 2: Convert to fraction form
    14,534/21,558 = 21,558/x
  3. Step 3: Cross multiply
    14,534x = 21,558 × 21,558
  4. Step 4: Simplify right side
    14,534x = 464,747,364
  5. Step 5: Solve for x
    x = 464,747,364/14,534
  6. Step 6: Final answer
    x = 31,976.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.