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Finding the Third Proportional to 4,990 and 10,935

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Solution

The third proportional to 4,990 and 10,935 is: 23,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990 : 10,935 = 10,935 : x
  2. Step 2: Convert to fraction form
    4,990/10,935 = 10,935/x
  3. Step 3: Cross multiply
    4,990x = 10,935 × 10,935
  4. Step 4: Simplify right side
    4,990x = 119,574,225
  5. Step 5: Solve for x
    x = 119,574,225/4,990
  6. Step 6: Final answer
    x = 23,962.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.