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Finding the Third Proportional to 44,490 and 69,286.50

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Solution

The third proportional to 44,490 and 69,286.50 is: 107,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,490 : 69,286.50 = 69,286.50 : x
  2. Step 2: Convert to fraction form
    44,490/69,286.50 = 69,286.50/x
  3. Step 3: Cross multiply
    44,490x = 69,286.50 × 69,286.50
  4. Step 4: Simplify right side
    44,490x = 4,800,619,082.25
  5. Step 5: Solve for x
    x = 4,800,619,082.25/44,490
  6. Step 6: Final answer
    x = 107,903.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.