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Finding the Third Proportional to 40,004 and 60,816

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Solution

The third proportional to 40,004 and 60,816 is: 92,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,004 : 60,816 = 60,816 : x
  2. Step 2: Convert to fraction form
    40,004/60,816 = 60,816/x
  3. Step 3: Cross multiply
    40,004x = 60,816 × 60,816
  4. Step 4: Simplify right side
    40,004x = 3,698,585,856
  5. Step 5: Solve for x
    x = 3,698,585,856/40,004
  6. Step 6: Final answer
    x = 92,455.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.