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Finding the Third Proportional to 9,133 and 13,765

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Solution

The third proportional to 9,133 and 13,765 is: 20,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133 : 13,765 = 13,765 : x
  2. Step 2: Convert to fraction form
    9,133/13,765 = 13,765/x
  3. Step 3: Cross multiply
    9,133x = 13,765 × 13,765
  4. Step 4: Simplify right side
    9,133x = 189,475,225
  5. Step 5: Solve for x
    x = 189,475,225/9,133
  6. Step 6: Final answer
    x = 20,746.22

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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.