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Finding the Third Proportional to 7,629.19 and 10,671.75

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Solution

The third proportional to 7,629.19 and 10,671.75 is: 14,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.19 : 10,671.75 = 10,671.75 : x
  2. Step 2: Convert to fraction form
    7,629.19/10,671.75 = 10,671.75/x
  3. Step 3: Cross multiply
    7,629.19x = 10,671.75 × 10,671.75
  4. Step 4: Simplify right side
    7,629.19x = 113,886,248.06
  5. Step 5: Solve for x
    x = 113,886,248.06/7,629.19
  6. Step 6: Final answer
    x = 14,927.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.