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Finding the Third Proportional to 45,927 and 69,498

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Solution

The third proportional to 45,927 and 69,498 is: 105,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 69,498 = 69,498 : x
  2. Step 2: Convert to fraction form
    45,927/69,498 = 69,498/x
  3. Step 3: Cross multiply
    45,927x = 69,498 × 69,498
  4. Step 4: Simplify right side
    45,927x = 4,829,972,004
  5. Step 5: Solve for x
    x = 4,829,972,004/45,927
  6. Step 6: Final answer
    x = 105,166.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.