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Finding the Third Proportional to 11,632 and 14,937

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Solution

The third proportional to 11,632 and 14,937 is: 19,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632 : 14,937 = 14,937 : x
  2. Step 2: Convert to fraction form
    11,632/14,937 = 14,937/x
  3. Step 3: Cross multiply
    11,632x = 14,937 × 14,937
  4. Step 4: Simplify right side
    11,632x = 223,113,969
  5. Step 5: Solve for x
    x = 223,113,969/11,632
  6. Step 6: Final answer
    x = 19,181.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.