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Finding the Third Proportional to 2,423.36 and 4,359.76

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Solution

The third proportional to 2,423.36 and 4,359.76 is: 7,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.36 : 4,359.76 = 4,359.76 : x
  2. Step 2: Convert to fraction form
    2,423.36/4,359.76 = 4,359.76/x
  3. Step 3: Cross multiply
    2,423.36x = 4,359.76 × 4,359.76
  4. Step 4: Simplify right side
    2,423.36x = 19,007,522.24
  5. Step 5: Solve for x
    x = 19,007,522.24/2,423.36
  6. Step 6: Final answer
    x = 7,843.47

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.