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Finding the Third Proportional to 43,125.75 and 59,384.25

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Solution

The third proportional to 43,125.75 and 59,384.25 is: 81,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125.75 : 59,384.25 = 59,384.25 : x
  2. Step 2: Convert to fraction form
    43,125.75/59,384.25 = 59,384.25/x
  3. Step 3: Cross multiply
    43,125.75x = 59,384.25 × 59,384.25
  4. Step 4: Simplify right side
    43,125.75x = 3,526,489,148.06
  5. Step 5: Solve for x
    x = 3,526,489,148.06/43,125.75
  6. Step 6: Final answer
    x = 81,772.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.