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Finding the Third Proportional to 1,742.77 and 3,664.93

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Solution

The third proportional to 1,742.77 and 3,664.93 is: 7,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.77 : 3,664.93 = 3,664.93 : x
  2. Step 2: Convert to fraction form
    1,742.77/3,664.93 = 3,664.93/x
  3. Step 3: Cross multiply
    1,742.77x = 3,664.93 × 3,664.93
  4. Step 4: Simplify right side
    1,742.77x = 13,431,738.25
  5. Step 5: Solve for x
    x = 13,431,738.25/1,742.77
  6. Step 6: Final answer
    x = 7,707.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.