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Finding the Third Proportional to 46,061 and 67,579

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Solution

The third proportional to 46,061 and 67,579 is: 99,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,061 : 67,579 = 67,579 : x
  2. Step 2: Convert to fraction form
    46,061/67,579 = 67,579/x
  3. Step 3: Cross multiply
    46,061x = 67,579 × 67,579
  4. Step 4: Simplify right side
    46,061x = 4,566,921,241
  5. Step 5: Solve for x
    x = 4,566,921,241/46,061
  6. Step 6: Final answer
    x = 99,149.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.