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Finding the Third Proportional to 909.98 and 2,261.67

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Solution

The third proportional to 909.98 and 2,261.67 is: 5,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.98 : 2,261.67 = 2,261.67 : x
  2. Step 2: Convert to fraction form
    909.98/2,261.67 = 2,261.67/x
  3. Step 3: Cross multiply
    909.98x = 2,261.67 × 2,261.67
  4. Step 4: Simplify right side
    909.98x = 5,115,159.67
  5. Step 5: Solve for x
    x = 5,115,159.67/909.98
  6. Step 6: Final answer
    x = 5,621.15

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.