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Finding the Third Proportional to 14,914 and 30,521

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Solution

The third proportional to 14,914 and 30,521 is: 62,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914 : 30,521 = 30,521 : x
  2. Step 2: Convert to fraction form
    14,914/30,521 = 30,521/x
  3. Step 3: Cross multiply
    14,914x = 30,521 × 30,521
  4. Step 4: Simplify right side
    14,914x = 931,531,441
  5. Step 5: Solve for x
    x = 931,531,441/14,914
  6. Step 6: Final answer
    x = 62,460.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.