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Finding the Third Proportional to 30,229 and 46,922

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Solution

The third proportional to 30,229 and 46,922 is: 72,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229 : 46,922 = 46,922 : x
  2. Step 2: Convert to fraction form
    30,229/46,922 = 46,922/x
  3. Step 3: Cross multiply
    30,229x = 46,922 × 46,922
  4. Step 4: Simplify right side
    30,229x = 2,201,674,084
  5. Step 5: Solve for x
    x = 2,201,674,084/30,229
  6. Step 6: Final answer
    x = 72,833.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.