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Finding the Third Proportional to 13,133 and 29,155

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Solution

The third proportional to 13,133 and 29,155 is: 64,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133 : 29,155 = 29,155 : x
  2. Step 2: Convert to fraction form
    13,133/29,155 = 29,155/x
  3. Step 3: Cross multiply
    13,133x = 29,155 × 29,155
  4. Step 4: Simplify right side
    13,133x = 850,014,025
  5. Step 5: Solve for x
    x = 850,014,025/13,133
  6. Step 6: Final answer
    x = 64,723.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.