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Finding the Third Proportional to 5,740.25 and 9,143.75

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Solution

The third proportional to 5,740.25 and 9,143.75 is: 14,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.25 : 9,143.75 = 9,143.75 : x
  2. Step 2: Convert to fraction form
    5,740.25/9,143.75 = 9,143.75/x
  3. Step 3: Cross multiply
    5,740.25x = 9,143.75 × 9,143.75
  4. Step 4: Simplify right side
    5,740.25x = 83,608,164.06
  5. Step 5: Solve for x
    x = 83,608,164.06/5,740.25
  6. Step 6: Final answer
    x = 14,565.25

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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.