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Finding the Third Proportional to 45,598 and 69,004

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Solution

The third proportional to 45,598 and 69,004 is: 104,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,598 : 69,004 = 69,004 : x
  2. Step 2: Convert to fraction form
    45,598/69,004 = 69,004/x
  3. Step 3: Cross multiply
    45,598x = 69,004 × 69,004
  4. Step 4: Simplify right side
    45,598x = 4,761,552,016
  5. Step 5: Solve for x
    x = 4,761,552,016/45,598
  6. Step 6: Final answer
    x = 104,424.58

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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.