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Finding the Third Proportional to 30,033 and 45,697

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Solution

The third proportional to 30,033 and 45,697 is: 69,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033 : 45,697 = 45,697 : x
  2. Step 2: Convert to fraction form
    30,033/45,697 = 45,697/x
  3. Step 3: Cross multiply
    30,033x = 45,697 × 45,697
  4. Step 4: Simplify right side
    30,033x = 2,088,215,809
  5. Step 5: Solve for x
    x = 2,088,215,809/30,033
  6. Step 6: Final answer
    x = 69,530.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.