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Finding the Third Proportional to 9,114 and 13,937

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Solution

The third proportional to 9,114 and 13,937 is: 21,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114 : 13,937 = 13,937 : x
  2. Step 2: Convert to fraction form
    9,114/13,937 = 13,937/x
  3. Step 3: Cross multiply
    9,114x = 13,937 × 13,937
  4. Step 4: Simplify right side
    9,114x = 194,239,969
  5. Step 5: Solve for x
    x = 194,239,969/9,114
  6. Step 6: Final answer
    x = 21,312.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.