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Finding the Third Proportional to 13,004 and 25,360

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Solution

The third proportional to 13,004 and 25,360 is: 49,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004 : 25,360 = 25,360 : x
  2. Step 2: Convert to fraction form
    13,004/25,360 = 25,360/x
  3. Step 3: Cross multiply
    13,004x = 25,360 × 25,360
  4. Step 4: Simplify right side
    13,004x = 643,129,600
  5. Step 5: Solve for x
    x = 643,129,600/13,004
  6. Step 6: Final answer
    x = 49,456.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.