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Finding the Third Proportional to 30,650 and 64,390

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Solution

The third proportional to 30,650 and 64,390 is: 135,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650 : 64,390 = 64,390 : x
  2. Step 2: Convert to fraction form
    30,650/64,390 = 64,390/x
  3. Step 3: Cross multiply
    30,650x = 64,390 × 64,390
  4. Step 4: Simplify right side
    30,650x = 4,146,072,100
  5. Step 5: Solve for x
    x = 4,146,072,100/30,650
  6. Step 6: Final answer
    x = 135,271.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.