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Finding the Third Proportional to 30,035 and 40,723

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Solution

The third proportional to 30,035 and 40,723 is: 55,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035 : 40,723 = 40,723 : x
  2. Step 2: Convert to fraction form
    30,035/40,723 = 40,723/x
  3. Step 3: Cross multiply
    30,035x = 40,723 × 40,723
  4. Step 4: Simplify right side
    30,035x = 1,658,362,729
  5. Step 5: Solve for x
    x = 1,658,362,729/30,035
  6. Step 6: Final answer
    x = 55,214.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.