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Finding the Third Proportional to 45,014 and 69,880

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Solution

The third proportional to 45,014 and 69,880 is: 108,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,014 : 69,880 = 69,880 : x
  2. Step 2: Convert to fraction form
    45,014/69,880 = 69,880/x
  3. Step 3: Cross multiply
    45,014x = 69,880 × 69,880
  4. Step 4: Simplify right side
    45,014x = 4,883,214,400
  5. Step 5: Solve for x
    x = 4,883,214,400/45,014
  6. Step 6: Final answer
    x = 108,482.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.