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Finding the Third Proportional to 1,013 and 1,354

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Solution

The third proportional to 1,013 and 1,354 is: 1,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 1,354 = 1,354 : x
  2. Step 2: Convert to fraction form
    1,013/1,354 = 1,354/x
  3. Step 3: Cross multiply
    1,013x = 1,354 × 1,354
  4. Step 4: Simplify right side
    1,013x = 1,833,316
  5. Step 5: Solve for x
    x = 1,833,316/1,013
  6. Step 6: Final answer
    x = 1,809.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.