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Finding the Third Proportional to 2,281.50 and 3,522.94

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Solution

The third proportional to 2,281.50 and 3,522.94 is: 5,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.50 : 3,522.94 = 3,522.94 : x
  2. Step 2: Convert to fraction form
    2,281.50/3,522.94 = 3,522.94/x
  3. Step 3: Cross multiply
    2,281.50x = 3,522.94 × 3,522.94
  4. Step 4: Simplify right side
    2,281.50x = 12,411,088.63
  5. Step 5: Solve for x
    x = 12,411,088.63/2,281.50
  6. Step 6: Final answer
    x = 5,439.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.