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Finding the Third Proportional to 26,000 and 40,333

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Solution

The third proportional to 26,000 and 40,333 is: 62,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000 : 40,333 = 40,333 : x
  2. Step 2: Convert to fraction form
    26,000/40,333 = 40,333/x
  3. Step 3: Cross multiply
    26,000x = 40,333 × 40,333
  4. Step 4: Simplify right side
    26,000x = 1,626,750,889
  5. Step 5: Solve for x
    x = 1,626,750,889/26,000
  6. Step 6: Final answer
    x = 62,567.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.