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Finding the Third Proportional to 30,314 and 46,431

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Solution

The third proportional to 30,314 and 46,431 is: 71,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314 : 46,431 = 46,431 : x
  2. Step 2: Convert to fraction form
    30,314/46,431 = 46,431/x
  3. Step 3: Cross multiply
    30,314x = 46,431 × 46,431
  4. Step 4: Simplify right side
    30,314x = 2,155,837,761
  5. Step 5: Solve for x
    x = 2,155,837,761/30,314
  6. Step 6: Final answer
    x = 71,116.90

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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.