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Finding the Third Proportional to 1,695.66 and 2,541.73

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Solution

The third proportional to 1,695.66 and 2,541.73 is: 3,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.66 : 2,541.73 = 2,541.73 : x
  2. Step 2: Convert to fraction form
    1,695.66/2,541.73 = 2,541.73/x
  3. Step 3: Cross multiply
    1,695.66x = 2,541.73 × 2,541.73
  4. Step 4: Simplify right side
    1,695.66x = 6,460,373.92
  5. Step 5: Solve for x
    x = 6,460,373.92/1,695.66
  6. Step 6: Final answer
    x = 3,809.95

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Why These Related Problems?

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