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Finding the Third Proportional to 2,416.50 and 3,830.63

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Solution

The third proportional to 2,416.50 and 3,830.63 is: 6,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.50 : 3,830.63 = 3,830.63 : x
  2. Step 2: Convert to fraction form
    2,416.50/3,830.63 = 3,830.63/x
  3. Step 3: Cross multiply
    2,416.50x = 3,830.63 × 3,830.63
  4. Step 4: Simplify right side
    2,416.50x = 14,673,687.89
  5. Step 5: Solve for x
    x = 14,673,687.89/2,416.50
  6. Step 6: Final answer
    x = 6,072.29

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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.