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Finding the Third Proportional to 29,166.75 and 46,518.75

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Solution

The third proportional to 29,166.75 and 46,518.75 is: 74,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,166.75 : 46,518.75 = 46,518.75 : x
  2. Step 2: Convert to fraction form
    29,166.75/46,518.75 = 46,518.75/x
  3. Step 3: Cross multiply
    29,166.75x = 46,518.75 × 46,518.75
  4. Step 4: Simplify right side
    29,166.75x = 2,163,994,101.56
  5. Step 5: Solve for x
    x = 2,163,994,101.56/29,166.75
  6. Step 6: Final answer
    x = 74,193.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.