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Finding the Third Proportional to 6,029 and 9,037.25

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Solution

The third proportional to 6,029 and 9,037.25 is: 13,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029 : 9,037.25 = 9,037.25 : x
  2. Step 2: Convert to fraction form
    6,029/9,037.25 = 9,037.25/x
  3. Step 3: Cross multiply
    6,029x = 9,037.25 × 9,037.25
  4. Step 4: Simplify right side
    6,029x = 81,671,887.56
  5. Step 5: Solve for x
    x = 81,671,887.56/6,029
  6. Step 6: Final answer
    x = 13,546.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.