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Finding the Third Proportional to 14,962 and 31,502

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Solution

The third proportional to 14,962 and 31,502 is: 66,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962 : 31,502 = 31,502 : x
  2. Step 2: Convert to fraction form
    14,962/31,502 = 31,502/x
  3. Step 3: Cross multiply
    14,962x = 31,502 × 31,502
  4. Step 4: Simplify right side
    14,962x = 992,376,004
  5. Step 5: Solve for x
    x = 992,376,004/14,962
  6. Step 6: Final answer
    x = 66,326.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.