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Finding the Third Proportional to 2,421.02 and 3,741.01

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Solution

The third proportional to 2,421.02 and 3,741.01 is: 5,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.02 : 3,741.01 = 3,741.01 : x
  2. Step 2: Convert to fraction form
    2,421.02/3,741.01 = 3,741.01/x
  3. Step 3: Cross multiply
    2,421.02x = 3,741.01 × 3,741.01
  4. Step 4: Simplify right side
    2,421.02x = 13,995,168.68
  5. Step 5: Solve for x
    x = 13,995,168.68/2,421.02
  6. Step 6: Final answer
    x = 5,780.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.