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Finding the Third Proportional to 40,004 and 84,940

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Solution

The third proportional to 40,004 and 84,940 is: 180,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,004 : 84,940 = 84,940 : x
  2. Step 2: Convert to fraction form
    40,004/84,940 = 84,940/x
  3. Step 3: Cross multiply
    40,004x = 84,940 × 84,940
  4. Step 4: Simplify right side
    40,004x = 7,214,803,600
  5. Step 5: Solve for x
    x = 7,214,803,600/40,004
  6. Step 6: Final answer
    x = 180,352.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.