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Finding the Third Proportional to 1,945 and 4,498

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Solution

The third proportional to 1,945 and 4,498 is: 10,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945 : 4,498 = 4,498 : x
  2. Step 2: Convert to fraction form
    1,945/4,498 = 4,498/x
  3. Step 3: Cross multiply
    1,945x = 4,498 × 4,498
  4. Step 4: Simplify right side
    1,945x = 20,232,004
  5. Step 5: Solve for x
    x = 20,232,004/1,945
  6. Step 6: Final answer
    x = 10,402.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.