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Finding the Third Proportional to 941.86 and 2,056.72

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Solution

The third proportional to 941.86 and 2,056.72 is: 4,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.86 : 2,056.72 = 2,056.72 : x
  2. Step 2: Convert to fraction form
    941.86/2,056.72 = 2,056.72/x
  3. Step 3: Cross multiply
    941.86x = 2,056.72 × 2,056.72
  4. Step 4: Simplify right side
    941.86x = 4,230,096.03
  5. Step 5: Solve for x
    x = 4,230,096.03/941.86
  6. Step 6: Final answer
    x = 4,491.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.