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Finding the Third Proportional to 1,776.09 and 4,104.84

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Solution

The third proportional to 1,776.09 and 4,104.84 is: 9,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.09 : 4,104.84 = 4,104.84 : x
  2. Step 2: Convert to fraction form
    1,776.09/4,104.84 = 4,104.84/x
  3. Step 3: Cross multiply
    1,776.09x = 4,104.84 × 4,104.84
  4. Step 4: Simplify right side
    1,776.09x = 16,849,742.21
  5. Step 5: Solve for x
    x = 16,849,742.21/1,776.09
  6. Step 6: Final answer
    x = 9,486.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.