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Finding the Third Proportional to 15,951 and 34,453

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Solution

The third proportional to 15,951 and 34,453 is: 74,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,951 : 34,453 = 34,453 : x
  2. Step 2: Convert to fraction form
    15,951/34,453 = 34,453/x
  3. Step 3: Cross multiply
    15,951x = 34,453 × 34,453
  4. Step 4: Simplify right side
    15,951x = 1,187,009,209
  5. Step 5: Solve for x
    x = 1,187,009,209/15,951
  6. Step 6: Final answer
    x = 74,415.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.