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Finding the Third Proportional to 45,646 and 61,603

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Solution

The third proportional to 45,646 and 61,603 is: 83,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,646 : 61,603 = 61,603 : x
  2. Step 2: Convert to fraction form
    45,646/61,603 = 61,603/x
  3. Step 3: Cross multiply
    45,646x = 61,603 × 61,603
  4. Step 4: Simplify right side
    45,646x = 3,794,929,609
  5. Step 5: Solve for x
    x = 3,794,929,609/45,646
  6. Step 6: Final answer
    x = 83,138.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.