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Finding the Third Proportional to 30,642 and 43,360

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Solution

The third proportional to 30,642 and 43,360 is: 61,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642 : 43,360 = 43,360 : x
  2. Step 2: Convert to fraction form
    30,642/43,360 = 43,360/x
  3. Step 3: Cross multiply
    30,642x = 43,360 × 43,360
  4. Step 4: Simplify right side
    30,642x = 1,880,089,600
  5. Step 5: Solve for x
    x = 1,880,089,600/30,642
  6. Step 6: Final answer
    x = 61,356.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.