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Finding the Third Proportional to 2,428.31 and 3,973.22

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Solution

The third proportional to 2,428.31 and 3,973.22 is: 6,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.31 : 3,973.22 = 3,973.22 : x
  2. Step 2: Convert to fraction form
    2,428.31/3,973.22 = 3,973.22/x
  3. Step 3: Cross multiply
    2,428.31x = 3,973.22 × 3,973.22
  4. Step 4: Simplify right side
    2,428.31x = 15,786,467.24
  5. Step 5: Solve for x
    x = 15,786,467.24/2,428.31
  6. Step 6: Final answer
    x = 6,501.00

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.