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Finding the Third Proportional to 30,290 and 46,395

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Solution

The third proportional to 30,290 and 46,395 is: 71,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290 : 46,395 = 46,395 : x
  2. Step 2: Convert to fraction form
    30,290/46,395 = 46,395/x
  3. Step 3: Cross multiply
    30,290x = 46,395 × 46,395
  4. Step 4: Simplify right side
    30,290x = 2,152,496,025
  5. Step 5: Solve for x
    x = 2,152,496,025/30,290
  6. Step 6: Final answer
    x = 71,062.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.