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Finding the Third Proportional to 4,066.31 and 4,653.56

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Solution

The third proportional to 4,066.31 and 4,653.56 is: 5,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.31 : 4,653.56 = 4,653.56 : x
  2. Step 2: Convert to fraction form
    4,066.31/4,653.56 = 4,653.56/x
  3. Step 3: Cross multiply
    4,066.31x = 4,653.56 × 4,653.56
  4. Step 4: Simplify right side
    4,066.31x = 21,655,643.94
  5. Step 5: Solve for x
    x = 21,655,643.94/4,066.31
  6. Step 6: Final answer
    x = 5,325.62

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.