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Finding the Third Proportional to 9,242 and 13,935

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Solution

The third proportional to 9,242 and 13,935 is: 21,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242 : 13,935 = 13,935 : x
  2. Step 2: Convert to fraction form
    9,242/13,935 = 13,935/x
  3. Step 3: Cross multiply
    9,242x = 13,935 × 13,935
  4. Step 4: Simplify right side
    9,242x = 194,184,225
  5. Step 5: Solve for x
    x = 194,184,225/9,242
  6. Step 6: Final answer
    x = 21,011.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.