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Finding the Third Proportional to 3,817.76 and 7,477.95

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Solution

The third proportional to 3,817.76 and 7,477.95 is: 14,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.76 : 7,477.95 = 7,477.95 : x
  2. Step 2: Convert to fraction form
    3,817.76/7,477.95 = 7,477.95/x
  3. Step 3: Cross multiply
    3,817.76x = 7,477.95 × 7,477.95
  4. Step 4: Simplify right side
    3,817.76x = 55,919,666.10
  5. Step 5: Solve for x
    x = 55,919,666.10/3,817.76
  6. Step 6: Final answer
    x = 14,647.25

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.