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Finding the Third Proportional to 921.13 and 1,401.25

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Solution

The third proportional to 921.13 and 1,401.25 is: 2,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.13 : 1,401.25 = 1,401.25 : x
  2. Step 2: Convert to fraction form
    921.13/1,401.25 = 1,401.25/x
  3. Step 3: Cross multiply
    921.13x = 1,401.25 × 1,401.25
  4. Step 4: Simplify right side
    921.13x = 1,963,501.56
  5. Step 5: Solve for x
    x = 1,963,501.56/921.13
  6. Step 6: Final answer
    x = 2,131.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.