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Finding the Third Proportional to 57,745.50 and 84,621

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Solution

The third proportional to 57,745.50 and 84,621 is: 124,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745.50 : 84,621 = 84,621 : x
  2. Step 2: Convert to fraction form
    57,745.50/84,621 = 84,621/x
  3. Step 3: Cross multiply
    57,745.50x = 84,621 × 84,621
  4. Step 4: Simplify right side
    57,745.50x = 7,160,713,641
  5. Step 5: Solve for x
    x = 7,160,713,641/57,745.50
  6. Step 6: Final answer
    x = 124,004.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.