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Finding the Third Proportional to 926.25 and 2,184.75

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Solution

The third proportional to 926.25 and 2,184.75 is: 5,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.25 : 2,184.75 = 2,184.75 : x
  2. Step 2: Convert to fraction form
    926.25/2,184.75 = 2,184.75/x
  3. Step 3: Cross multiply
    926.25x = 2,184.75 × 2,184.75
  4. Step 4: Simplify right side
    926.25x = 4,773,132.56
  5. Step 5: Solve for x
    x = 4,773,132.56/926.25
  6. Step 6: Final answer
    x = 5,153.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.