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Finding the Third Proportional to 14,971 and 24,950

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Solution

The third proportional to 14,971 and 24,950 is: 41,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971 : 24,950 = 24,950 : x
  2. Step 2: Convert to fraction form
    14,971/24,950 = 24,950/x
  3. Step 3: Cross multiply
    14,971x = 24,950 × 24,950
  4. Step 4: Simplify right side
    14,971x = 622,502,500
  5. Step 5: Solve for x
    x = 622,502,500/14,971
  6. Step 6: Final answer
    x = 41,580.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.