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Finding the Third Proportional to 43,039 and 63,145

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Solution

The third proportional to 43,039 and 63,145 is: 92,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,039 : 63,145 = 63,145 : x
  2. Step 2: Convert to fraction form
    43,039/63,145 = 63,145/x
  3. Step 3: Cross multiply
    43,039x = 63,145 × 63,145
  4. Step 4: Simplify right side
    43,039x = 3,987,291,025
  5. Step 5: Solve for x
    x = 3,987,291,025/43,039
  6. Step 6: Final answer
    x = 92,643.67

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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.