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Finding the Third Proportional to 2,346.47 and 4,935.94

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Solution

The third proportional to 2,346.47 and 4,935.94 is: 10,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.47 : 4,935.94 = 4,935.94 : x
  2. Step 2: Convert to fraction form
    2,346.47/4,935.94 = 4,935.94/x
  3. Step 3: Cross multiply
    2,346.47x = 4,935.94 × 4,935.94
  4. Step 4: Simplify right side
    2,346.47x = 24,363,479.00
  5. Step 5: Solve for x
    x = 24,363,479.00/2,346.47
  6. Step 6: Final answer
    x = 10,383.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.