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Finding the Third Proportional to 30,370 and 62,252

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Solution

The third proportional to 30,370 and 62,252 is: 127,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370 : 62,252 = 62,252 : x
  2. Step 2: Convert to fraction form
    30,370/62,252 = 62,252/x
  3. Step 3: Cross multiply
    30,370x = 62,252 × 62,252
  4. Step 4: Simplify right side
    30,370x = 3,875,311,504
  5. Step 5: Solve for x
    x = 3,875,311,504/30,370
  6. Step 6: Final answer
    x = 127,603.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.