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Finding the Third Proportional to 46,421 and 67,675

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Solution

The third proportional to 46,421 and 67,675 is: 98,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,421 : 67,675 = 67,675 : x
  2. Step 2: Convert to fraction form
    46,421/67,675 = 67,675/x
  3. Step 3: Cross multiply
    46,421x = 67,675 × 67,675
  4. Step 4: Simplify right side
    46,421x = 4,579,905,625
  5. Step 5: Solve for x
    x = 4,579,905,625/46,421
  6. Step 6: Final answer
    x = 98,660.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.