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Finding the Third Proportional to 938.25 and 2,264.63

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Solution

The third proportional to 938.25 and 2,264.63 is: 5,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.25 : 2,264.63 = 2,264.63 : x
  2. Step 2: Convert to fraction form
    938.25/2,264.63 = 2,264.63/x
  3. Step 3: Cross multiply
    938.25x = 2,264.63 × 2,264.63
  4. Step 4: Simplify right side
    938.25x = 5,128,526.39
  5. Step 5: Solve for x
    x = 5,128,526.39/938.25
  6. Step 6: Final answer
    x = 5,466.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.