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Finding the Third Proportional to 25,004 and 59,025

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Solution

The third proportional to 25,004 and 59,025 is: 139,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,004 : 59,025 = 59,025 : x
  2. Step 2: Convert to fraction form
    25,004/59,025 = 59,025/x
  3. Step 3: Cross multiply
    25,004x = 59,025 × 59,025
  4. Step 4: Simplify right side
    25,004x = 3,483,950,625
  5. Step 5: Solve for x
    x = 3,483,950,625/25,004
  6. Step 6: Final answer
    x = 139,335.73

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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.