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Finding the Third Proportional to 831.94 and 1,293.05

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Solution

The third proportional to 831.94 and 1,293.05 is: 2,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.94 : 1,293.05 = 1,293.05 : x
  2. Step 2: Convert to fraction form
    831.94/1,293.05 = 1,293.05/x
  3. Step 3: Cross multiply
    831.94x = 1,293.05 × 1,293.05
  4. Step 4: Simplify right side
    831.94x = 1,671,970.22
  5. Step 5: Solve for x
    x = 1,671,970.22/831.94
  6. Step 6: Final answer
    x = 2,009.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.