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Finding the Third Proportional to 7,707 and 19,005

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Solution

The third proportional to 7,707 and 19,005 is: 46,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707 : 19,005 = 19,005 : x
  2. Step 2: Convert to fraction form
    7,707/19,005 = 19,005/x
  3. Step 3: Cross multiply
    7,707x = 19,005 × 19,005
  4. Step 4: Simplify right side
    7,707x = 361,190,025
  5. Step 5: Solve for x
    x = 361,190,025/7,707
  6. Step 6: Final answer
    x = 46,865.19

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.