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Finding the Third Proportional to 30,022 and 46,281

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Solution

The third proportional to 30,022 and 46,281 is: 71,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022 : 46,281 = 46,281 : x
  2. Step 2: Convert to fraction form
    30,022/46,281 = 46,281/x
  3. Step 3: Cross multiply
    30,022x = 46,281 × 46,281
  4. Step 4: Simplify right side
    30,022x = 2,141,930,961
  5. Step 5: Solve for x
    x = 2,141,930,961/30,022
  6. Step 6: Final answer
    x = 71,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.