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Finding the Third Proportional to 28,766 and 58,925

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Solution

The third proportional to 28,766 and 58,925 is: 120,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,766 : 58,925 = 58,925 : x
  2. Step 2: Convert to fraction form
    28,766/58,925 = 58,925/x
  3. Step 3: Cross multiply
    28,766x = 58,925 × 58,925
  4. Step 4: Simplify right side
    28,766x = 3,472,155,625
  5. Step 5: Solve for x
    x = 3,472,155,625/28,766
  6. Step 6: Final answer
    x = 120,703.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.