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Finding the Third Proportional to 45,592 and 69,017

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Solution

The third proportional to 45,592 and 69,017 is: 104,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,592 : 69,017 = 69,017 : x
  2. Step 2: Convert to fraction form
    45,592/69,017 = 69,017/x
  3. Step 3: Cross multiply
    45,592x = 69,017 × 69,017
  4. Step 4: Simplify right side
    45,592x = 4,763,346,289
  5. Step 5: Solve for x
    x = 4,763,346,289/45,592
  6. Step 6: Final answer
    x = 104,477.68

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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.