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Finding the Third Proportional to 1,492.17 and 2,243.95

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Solution

The third proportional to 1,492.17 and 2,243.95 is: 3,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.17 : 2,243.95 = 2,243.95 : x
  2. Step 2: Convert to fraction form
    1,492.17/2,243.95 = 2,243.95/x
  3. Step 3: Cross multiply
    1,492.17x = 2,243.95 × 2,243.95
  4. Step 4: Simplify right side
    1,492.17x = 5,035,325.63
  5. Step 5: Solve for x
    x = 5,035,325.63/1,492.17
  6. Step 6: Final answer
    x = 3,374.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.