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Finding the Third Proportional to 931.92 and 2,039.13

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Solution

The third proportional to 931.92 and 2,039.13 is: 4,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.92 : 2,039.13 = 2,039.13 : x
  2. Step 2: Convert to fraction form
    931.92/2,039.13 = 2,039.13/x
  3. Step 3: Cross multiply
    931.92x = 2,039.13 × 2,039.13
  4. Step 4: Simplify right side
    931.92x = 4,158,062.63
  5. Step 5: Solve for x
    x = 4,158,062.63/931.92
  6. Step 6: Final answer
    x = 4,461.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.