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Finding the Third Proportional to 11,457 and 16,345

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Solution

The third proportional to 11,457 and 16,345 is: 23,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 16,345 = 16,345 : x
  2. Step 2: Convert to fraction form
    11,457/16,345 = 16,345/x
  3. Step 3: Cross multiply
    11,457x = 16,345 × 16,345
  4. Step 4: Simplify right side
    11,457x = 267,159,025
  5. Step 5: Solve for x
    x = 267,159,025/11,457
  6. Step 6: Final answer
    x = 23,318.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.