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Finding the Third Proportional to 1,438.07 and 2,428.34

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Solution

The third proportional to 1,438.07 and 2,428.34 is: 4,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.07 : 2,428.34 = 2,428.34 : x
  2. Step 2: Convert to fraction form
    1,438.07/2,428.34 = 2,428.34/x
  3. Step 3: Cross multiply
    1,438.07x = 2,428.34 × 2,428.34
  4. Step 4: Simplify right side
    1,438.07x = 5,896,829.65
  5. Step 5: Solve for x
    x = 5,896,829.65/1,438.07
  6. Step 6: Final answer
    x = 4,100.53

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.