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Finding the Third Proportional to 30,390 and 63,202

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Solution

The third proportional to 30,390 and 63,202 is: 131,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390 : 63,202 = 63,202 : x
  2. Step 2: Convert to fraction form
    30,390/63,202 = 63,202/x
  3. Step 3: Cross multiply
    30,390x = 63,202 × 63,202
  4. Step 4: Simplify right side
    30,390x = 3,994,492,804
  5. Step 5: Solve for x
    x = 3,994,492,804/30,390
  6. Step 6: Final answer
    x = 131,441.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.