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Finding the Third Proportional to 5,908.89 and 8,746.58

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Solution

The third proportional to 5,908.89 and 8,746.58 is: 12,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.89 : 8,746.58 = 8,746.58 : x
  2. Step 2: Convert to fraction form
    5,908.89/8,746.58 = 8,746.58/x
  3. Step 3: Cross multiply
    5,908.89x = 8,746.58 × 8,746.58
  4. Step 4: Simplify right side
    5,908.89x = 76,502,594.73
  5. Step 5: Solve for x
    x = 76,502,594.73/5,908.89
  6. Step 6: Final answer
    x = 12,947.04

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