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Finding the Third Proportional to 14,914 and 36,565

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Solution

The third proportional to 14,914 and 36,565 is: 89,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914 : 36,565 = 36,565 : x
  2. Step 2: Convert to fraction form
    14,914/36,565 = 36,565/x
  3. Step 3: Cross multiply
    14,914x = 36,565 × 36,565
  4. Step 4: Simplify right side
    14,914x = 1,336,999,225
  5. Step 5: Solve for x
    x = 1,336,999,225/14,914
  6. Step 6: Final answer
    x = 89,647.26

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.