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Finding the Third Proportional to 17,603 and 37,513

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Solution

The third proportional to 17,603 and 37,513 is: 79,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603 : 37,513 = 37,513 : x
  2. Step 2: Convert to fraction form
    17,603/37,513 = 37,513/x
  3. Step 3: Cross multiply
    17,603x = 37,513 × 37,513
  4. Step 4: Simplify right side
    17,603x = 1,407,225,169
  5. Step 5: Solve for x
    x = 1,407,225,169/17,603
  6. Step 6: Final answer
    x = 79,942.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.