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Finding the Third Proportional to 30,009 and 43,779

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Solution

The third proportional to 30,009 and 43,779 is: 63,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009 : 43,779 = 43,779 : x
  2. Step 2: Convert to fraction form
    30,009/43,779 = 43,779/x
  3. Step 3: Cross multiply
    30,009x = 43,779 × 43,779
  4. Step 4: Simplify right side
    30,009x = 1,916,600,841
  5. Step 5: Solve for x
    x = 1,916,600,841/30,009
  6. Step 6: Final answer
    x = 63,867.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.