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Finding the Third Proportional to 30,426 and 40,699

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Solution

The third proportional to 30,426 and 40,699 is: 54,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426 : 40,699 = 40,699 : x
  2. Step 2: Convert to fraction form
    30,426/40,699 = 40,699/x
  3. Step 3: Cross multiply
    30,426x = 40,699 × 40,699
  4. Step 4: Simplify right side
    30,426x = 1,656,408,601
  5. Step 5: Solve for x
    x = 1,656,408,601/30,426
  6. Step 6: Final answer
    x = 54,440.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.