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Finding the Third Proportional to 2,460.94 and 4,798.69

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Solution

The third proportional to 2,460.94 and 4,798.69 is: 9,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.94 : 4,798.69 = 4,798.69 : x
  2. Step 2: Convert to fraction form
    2,460.94/4,798.69 = 4,798.69/x
  3. Step 3: Cross multiply
    2,460.94x = 4,798.69 × 4,798.69
  4. Step 4: Simplify right side
    2,460.94x = 23,027,401.72
  5. Step 5: Solve for x
    x = 23,027,401.72/2,460.94
  6. Step 6: Final answer
    x = 9,357.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.