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Finding the Third Proportional to 10,592 and 25,004

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Solution

The third proportional to 10,592 and 25,004 is: 59,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592 : 25,004 = 25,004 : x
  2. Step 2: Convert to fraction form
    10,592/25,004 = 25,004/x
  3. Step 3: Cross multiply
    10,592x = 25,004 × 25,004
  4. Step 4: Simplify right side
    10,592x = 625,200,016
  5. Step 5: Solve for x
    x = 625,200,016/10,592
  6. Step 6: Final answer
    x = 59,025.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.