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Finding the Third Proportional to 15,930 and 23,457

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Solution

The third proportional to 15,930 and 23,457 is: 34,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 23,457 = 23,457 : x
  2. Step 2: Convert to fraction form
    15,930/23,457 = 23,457/x
  3. Step 3: Cross multiply
    15,930x = 23,457 × 23,457
  4. Step 4: Simplify right side
    15,930x = 550,230,849
  5. Step 5: Solve for x
    x = 550,230,849/15,930
  6. Step 6: Final answer
    x = 34,540.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.