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Finding the Third Proportional to 1,736.79 and 3,746.95

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Solution

The third proportional to 1,736.79 and 3,746.95 is: 8,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.79 : 3,746.95 = 3,746.95 : x
  2. Step 2: Convert to fraction form
    1,736.79/3,746.95 = 3,746.95/x
  3. Step 3: Cross multiply
    1,736.79x = 3,746.95 × 3,746.95
  4. Step 4: Simplify right side
    1,736.79x = 14,039,657.72
  5. Step 5: Solve for x
    x = 14,039,657.72/1,736.79
  6. Step 6: Final answer
    x = 8,083.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.