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Finding the Third Proportional to 30,947 and 45,097

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Solution

The third proportional to 30,947 and 45,097 is: 65,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947 : 45,097 = 45,097 : x
  2. Step 2: Convert to fraction form
    30,947/45,097 = 45,097/x
  3. Step 3: Cross multiply
    30,947x = 45,097 × 45,097
  4. Step 4: Simplify right side
    30,947x = 2,033,739,409
  5. Step 5: Solve for x
    x = 2,033,739,409/30,947
  6. Step 6: Final answer
    x = 65,716.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.