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Finding the Third Proportional to 1,729.13 and 2,468.81

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Solution

The third proportional to 1,729.13 and 2,468.81 is: 3,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.13 : 2,468.81 = 2,468.81 : x
  2. Step 2: Convert to fraction form
    1,729.13/2,468.81 = 2,468.81/x
  3. Step 3: Cross multiply
    1,729.13x = 2,468.81 × 2,468.81
  4. Step 4: Simplify right side
    1,729.13x = 6,095,035.16
  5. Step 5: Solve for x
    x = 6,095,035.16/1,729.13
  6. Step 6: Final answer
    x = 3,524.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.