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Finding the Third Proportional to 30,026 and 45,039

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Solution

The third proportional to 30,026 and 45,039 is: 67,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,026 : 45,039 = 45,039 : x
  2. Step 2: Convert to fraction form
    30,026/45,039 = 45,039/x
  3. Step 3: Cross multiply
    30,026x = 45,039 × 45,039
  4. Step 4: Simplify right side
    30,026x = 2,028,511,521
  5. Step 5: Solve for x
    x = 2,028,511,521/30,026
  6. Step 6: Final answer
    x = 67,558.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.