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Finding the Third Proportional to 46,004 and 65,109

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Solution

The third proportional to 46,004 and 65,109 is: 92,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,004 : 65,109 = 65,109 : x
  2. Step 2: Convert to fraction form
    46,004/65,109 = 65,109/x
  3. Step 3: Cross multiply
    46,004x = 65,109 × 65,109
  4. Step 4: Simplify right side
    46,004x = 4,239,181,881
  5. Step 5: Solve for x
    x = 4,239,181,881/46,004
  6. Step 6: Final answer
    x = 92,148.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.