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Finding the Third Proportional to 10,062 and 14,512.25

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Solution

The third proportional to 10,062 and 14,512.25 is: 20,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062 : 14,512.25 = 14,512.25 : x
  2. Step 2: Convert to fraction form
    10,062/14,512.25 = 14,512.25/x
  3. Step 3: Cross multiply
    10,062x = 14,512.25 × 14,512.25
  4. Step 4: Simplify right side
    10,062x = 210,605,400.06
  5. Step 5: Solve for x
    x = 210,605,400.06/10,062
  6. Step 6: Final answer
    x = 20,930.77

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.