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Finding the Third Proportional to 25,004 and 38,736

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Solution

The third proportional to 25,004 and 38,736 is: 60,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,004 : 38,736 = 38,736 : x
  2. Step 2: Convert to fraction form
    25,004/38,736 = 38,736/x
  3. Step 3: Cross multiply
    25,004x = 38,736 × 38,736
  4. Step 4: Simplify right side
    25,004x = 1,500,477,696
  5. Step 5: Solve for x
    x = 1,500,477,696/25,004
  6. Step 6: Final answer
    x = 60,009.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.