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Finding the Third Proportional to 2,864.69 and 4,558.25

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Solution

The third proportional to 2,864.69 and 4,558.25 is: 7,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.69 : 4,558.25 = 4,558.25 : x
  2. Step 2: Convert to fraction form
    2,864.69/4,558.25 = 4,558.25/x
  3. Step 3: Cross multiply
    2,864.69x = 4,558.25 × 4,558.25
  4. Step 4: Simplify right side
    2,864.69x = 20,777,643.06
  5. Step 5: Solve for x
    x = 20,777,643.06/2,864.69
  6. Step 6: Final answer
    x = 7,253.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.