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Finding the Third Proportional to 10,224 and 14,058

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Solution

The third proportional to 10,224 and 14,058 is: 19,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224 : 14,058 = 14,058 : x
  2. Step 2: Convert to fraction form
    10,224/14,058 = 14,058/x
  3. Step 3: Cross multiply
    10,224x = 14,058 × 14,058
  4. Step 4: Simplify right side
    10,224x = 197,627,364
  5. Step 5: Solve for x
    x = 197,627,364/10,224
  6. Step 6: Final answer
    x = 19,329.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.