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Finding the Third Proportional to 4,694.84 and 7,246.34

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Solution

The third proportional to 4,694.84 and 7,246.34 is: 11,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.84 : 7,246.34 = 7,246.34 : x
  2. Step 2: Convert to fraction form
    4,694.84/7,246.34 = 7,246.34/x
  3. Step 3: Cross multiply
    4,694.84x = 7,246.34 × 7,246.34
  4. Step 4: Simplify right side
    4,694.84x = 52,509,384.52
  5. Step 5: Solve for x
    x = 52,509,384.52/4,694.84
  6. Step 6: Final answer
    x = 11,184.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.