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Finding the Third Proportional to 1,421.34 and 3,073.88

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Solution

The third proportional to 1,421.34 and 3,073.88 is: 6,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.34 : 3,073.88 = 3,073.88 : x
  2. Step 2: Convert to fraction form
    1,421.34/3,073.88 = 3,073.88/x
  3. Step 3: Cross multiply
    1,421.34x = 3,073.88 × 3,073.88
  4. Step 4: Simplify right side
    1,421.34x = 9,448,707.52
  5. Step 5: Solve for x
    x = 9,448,707.52/1,421.34
  6. Step 6: Final answer
    x = 6,647.73

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