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Finding the Third Proportional to 14,804 and 31,525

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Solution

The third proportional to 14,804 and 31,525 is: 67,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804 : 31,525 = 31,525 : x
  2. Step 2: Convert to fraction form
    14,804/31,525 = 31,525/x
  3. Step 3: Cross multiply
    14,804x = 31,525 × 31,525
  4. Step 4: Simplify right side
    14,804x = 993,825,625
  5. Step 5: Solve for x
    x = 993,825,625/14,804
  6. Step 6: Final answer
    x = 67,132.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.