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Finding the Third Proportional to 1,765.13 and 3,807.84

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Solution

The third proportional to 1,765.13 and 3,807.84 is: 8,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.13 : 3,807.84 = 3,807.84 : x
  2. Step 2: Convert to fraction form
    1,765.13/3,807.84 = 3,807.84/x
  3. Step 3: Cross multiply
    1,765.13x = 3,807.84 × 3,807.84
  4. Step 4: Simplify right side
    1,765.13x = 14,499,674.02
  5. Step 5: Solve for x
    x = 14,499,674.02/1,765.13
  6. Step 6: Final answer
    x = 8,214.53

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Why These Related Problems?

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