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Finding the Third Proportional to 30,765 and 66,360

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Solution

The third proportional to 30,765 and 66,360 is: 143,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 66,360 = 66,360 : x
  2. Step 2: Convert to fraction form
    30,765/66,360 = 66,360/x
  3. Step 3: Cross multiply
    30,765x = 66,360 × 66,360
  4. Step 4: Simplify right side
    30,765x = 4,403,649,600
  5. Step 5: Solve for x
    x = 4,403,649,600/30,765
  6. Step 6: Final answer
    x = 143,138.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.