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Finding the Third Proportional to 3,000.94 and 3,547.69

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Solution

The third proportional to 3,000.94 and 3,547.69 is: 4,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.94 : 3,547.69 = 3,547.69 : x
  2. Step 2: Convert to fraction form
    3,000.94/3,547.69 = 3,547.69/x
  3. Step 3: Cross multiply
    3,000.94x = 3,547.69 × 3,547.69
  4. Step 4: Simplify right side
    3,000.94x = 12,586,086.60
  5. Step 5: Solve for x
    x = 12,586,086.60/3,000.94
  6. Step 6: Final answer
    x = 4,194.05

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.