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Finding the Third Proportional to 941.63 and 2,048.41

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Solution

The third proportional to 941.63 and 2,048.41 is: 4,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.63 : 2,048.41 = 2,048.41 : x
  2. Step 2: Convert to fraction form
    941.63/2,048.41 = 2,048.41/x
  3. Step 3: Cross multiply
    941.63x = 2,048.41 × 2,048.41
  4. Step 4: Simplify right side
    941.63x = 4,196,000.17
  5. Step 5: Solve for x
    x = 4,196,000.17/941.63
  6. Step 6: Final answer
    x = 4,456.13

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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.