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Finding the Third Proportional to 1,780.14 and 4,026.94

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Solution

The third proportional to 1,780.14 and 4,026.94 is: 9,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.14 : 4,026.94 = 4,026.94 : x
  2. Step 2: Convert to fraction form
    1,780.14/4,026.94 = 4,026.94/x
  3. Step 3: Cross multiply
    1,780.14x = 4,026.94 × 4,026.94
  4. Step 4: Simplify right side
    1,780.14x = 16,216,261.02
  5. Step 5: Solve for x
    x = 16,216,261.02/1,780.14
  6. Step 6: Final answer
    x = 9,109.54

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.