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Finding the Third Proportional to 14,475 and 31,614

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Solution

The third proportional to 14,475 and 31,614 is: 69,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475 : 31,614 = 31,614 : x
  2. Step 2: Convert to fraction form
    14,475/31,614 = 31,614/x
  3. Step 3: Cross multiply
    14,475x = 31,614 × 31,614
  4. Step 4: Simplify right side
    14,475x = 999,444,996
  5. Step 5: Solve for x
    x = 999,444,996/14,475
  6. Step 6: Final answer
    x = 69,046.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.