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Finding the Third Proportional to 1,772.45 and 3,835.63

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Solution

The third proportional to 1,772.45 and 3,835.63 is: 8,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.45 : 3,835.63 = 3,835.63 : x
  2. Step 2: Convert to fraction form
    1,772.45/3,835.63 = 3,835.63/x
  3. Step 3: Cross multiply
    1,772.45x = 3,835.63 × 3,835.63
  4. Step 4: Simplify right side
    1,772.45x = 14,712,027.69
  5. Step 5: Solve for x
    x = 14,712,027.69/1,772.45
  6. Step 6: Final answer
    x = 8,300.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.