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Finding the Third Proportional to 43,045 and 62,854

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Solution

The third proportional to 43,045 and 62,854 is: 91,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,045 : 62,854 = 62,854 : x
  2. Step 2: Convert to fraction form
    43,045/62,854 = 62,854/x
  3. Step 3: Cross multiply
    43,045x = 62,854 × 62,854
  4. Step 4: Simplify right side
    43,045x = 3,950,625,316
  5. Step 5: Solve for x
    x = 3,950,625,316/43,045
  6. Step 6: Final answer
    x = 91,778.96

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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.