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Finding the Third Proportional to 12,900 and 17,405

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Solution

The third proportional to 12,900 and 17,405 is: 23,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900 : 17,405 = 17,405 : x
  2. Step 2: Convert to fraction form
    12,900/17,405 = 17,405/x
  3. Step 3: Cross multiply
    12,900x = 17,405 × 17,405
  4. Step 4: Simplify right side
    12,900x = 302,934,025
  5. Step 5: Solve for x
    x = 302,934,025/12,900
  6. Step 6: Final answer
    x = 23,483.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.