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Finding the Third Proportional to 1,421.34 and 2,133.28

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Solution

The third proportional to 1,421.34 and 2,133.28 is: 3,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.34 : 2,133.28 = 2,133.28 : x
  2. Step 2: Convert to fraction form
    1,421.34/2,133.28 = 2,133.28/x
  3. Step 3: Cross multiply
    1,421.34x = 2,133.28 × 2,133.28
  4. Step 4: Simplify right side
    1,421.34x = 4,550,888.89
  5. Step 5: Solve for x
    x = 4,550,888.89/1,421.34
  6. Step 6: Final answer
    x = 3,201.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.