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Finding the Third Proportional to 11,457 and 23,283

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Solution

The third proportional to 11,457 and 23,283 is: 47,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 23,283 = 23,283 : x
  2. Step 2: Convert to fraction form
    11,457/23,283 = 23,283/x
  3. Step 3: Cross multiply
    11,457x = 23,283 × 23,283
  4. Step 4: Simplify right side
    11,457x = 542,098,089
  5. Step 5: Solve for x
    x = 542,098,089/11,457
  6. Step 6: Final answer
    x = 47,315.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.