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Finding the Third Proportional to 2,943.84 and 4,585.36

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Solution

The third proportional to 2,943.84 and 4,585.36 is: 7,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.84 : 4,585.36 = 4,585.36 : x
  2. Step 2: Convert to fraction form
    2,943.84/4,585.36 = 4,585.36/x
  3. Step 3: Cross multiply
    2,943.84x = 4,585.36 × 4,585.36
  4. Step 4: Simplify right side
    2,943.84x = 21,025,520.60
  5. Step 5: Solve for x
    x = 21,025,520.60/2,943.84
  6. Step 6: Final answer
    x = 7,142.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.