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Finding the Third Proportional to 43,830.75 and 62,462.25

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Solution

The third proportional to 43,830.75 and 62,462.25 is: 89,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,830.75 : 62,462.25 = 62,462.25 : x
  2. Step 2: Convert to fraction form
    43,830.75/62,462.25 = 62,462.25/x
  3. Step 3: Cross multiply
    43,830.75x = 62,462.25 × 62,462.25
  4. Step 4: Simplify right side
    43,830.75x = 3,901,532,675.06
  5. Step 5: Solve for x
    x = 3,901,532,675.06/43,830.75
  6. Step 6: Final answer
    x = 89,013.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.