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Finding the Third Proportional to 32,430 and 67,344

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Solution

The third proportional to 32,430 and 67,344 is: 139,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430 : 67,344 = 67,344 : x
  2. Step 2: Convert to fraction form
    32,430/67,344 = 67,344/x
  3. Step 3: Cross multiply
    32,430x = 67,344 × 67,344
  4. Step 4: Simplify right side
    32,430x = 4,535,214,336
  5. Step 5: Solve for x
    x = 4,535,214,336/32,430
  6. Step 6: Final answer
    x = 139,846.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.