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Finding the Third Proportional to 1,421.30 and 3,005.86

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Solution

The third proportional to 1,421.30 and 3,005.86 is: 6,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.30 : 3,005.86 = 3,005.86 : x
  2. Step 2: Convert to fraction form
    1,421.30/3,005.86 = 3,005.86/x
  3. Step 3: Cross multiply
    1,421.30x = 3,005.86 × 3,005.86
  4. Step 4: Simplify right side
    1,421.30x = 9,035,190.58
  5. Step 5: Solve for x
    x = 9,035,190.58/1,421.30
  6. Step 6: Final answer
    x = 6,357.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.