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Finding the Third Proportional to 28,629 and 43,257.38

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Solution

The third proportional to 28,629 and 43,257.38 is: 65,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,629 : 43,257.38 = 43,257.38 : x
  2. Step 2: Convert to fraction form
    28,629/43,257.38 = 43,257.38/x
  3. Step 3: Cross multiply
    28,629x = 43,257.38 × 43,257.38
  4. Step 4: Simplify right side
    28,629x = 1,871,200,491.89
  5. Step 5: Solve for x
    x = 1,871,200,491.89/28,629
  6. Step 6: Final answer
    x = 65,360.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.