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Finding the Third Proportional to 945.50 and 1,438.25

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Solution

The third proportional to 945.50 and 1,438.25 is: 2,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,438.25 = 1,438.25 : x
  2. Step 2: Convert to fraction form
    945.50/1,438.25 = 1,438.25/x
  3. Step 3: Cross multiply
    945.50x = 1,438.25 × 1,438.25
  4. Step 4: Simplify right side
    945.50x = 2,068,563.06
  5. Step 5: Solve for x
    x = 2,068,563.06/945.50
  6. Step 6: Final answer
    x = 2,187.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.