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Finding the Third Proportional to 25,906 and 40,004

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Solution

The third proportional to 25,906 and 40,004 is: 61,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906 : 40,004 = 40,004 : x
  2. Step 2: Convert to fraction form
    25,906/40,004 = 40,004/x
  3. Step 3: Cross multiply
    25,906x = 40,004 × 40,004
  4. Step 4: Simplify right side
    25,906x = 1,600,320,016
  5. Step 5: Solve for x
    x = 1,600,320,016/25,906
  6. Step 6: Final answer
    x = 61,774.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.