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Finding the Third Proportional to 1,122.38 and 1,602.94

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Solution

The third proportional to 1,122.38 and 1,602.94 is: 2,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.38 : 1,602.94 = 1,602.94 : x
  2. Step 2: Convert to fraction form
    1,122.38/1,602.94 = 1,602.94/x
  3. Step 3: Cross multiply
    1,122.38x = 1,602.94 × 1,602.94
  4. Step 4: Simplify right side
    1,122.38x = 2,569,408.63
  5. Step 5: Solve for x
    x = 2,569,408.63/1,122.38
  6. Step 6: Final answer
    x = 2,289.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.