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Finding the Third Proportional to 30,024 and 45,036

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Solution

The third proportional to 30,024 and 45,036 is: 67,554

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024 : 45,036 = 45,036 : x
  2. Step 2: Convert to fraction form
    30,024/45,036 = 45,036/x
  3. Step 3: Cross multiply
    30,024x = 45,036 × 45,036
  4. Step 4: Simplify right side
    30,024x = 2,028,241,296
  5. Step 5: Solve for x
    x = 2,028,241,296/30,024
  6. Step 6: Final answer
    x = 67,554

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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.