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Finding the Third Proportional to 14,911 and 30,515

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Solution

The third proportional to 14,911 and 30,515 is: 62,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911 : 30,515 = 30,515 : x
  2. Step 2: Convert to fraction form
    14,911/30,515 = 30,515/x
  3. Step 3: Cross multiply
    14,911x = 30,515 × 30,515
  4. Step 4: Simplify right side
    14,911x = 931,165,225
  5. Step 5: Solve for x
    x = 931,165,225/14,911
  6. Step 6: Final answer
    x = 62,448.21

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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.