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Finding the Third Proportional to 30,218 and 65,288

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Solution

The third proportional to 30,218 and 65,288 is: 141,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218 : 65,288 = 65,288 : x
  2. Step 2: Convert to fraction form
    30,218/65,288 = 65,288/x
  3. Step 3: Cross multiply
    30,218x = 65,288 × 65,288
  4. Step 4: Simplify right side
    30,218x = 4,262,522,944
  5. Step 5: Solve for x
    x = 4,262,522,944/30,218
  6. Step 6: Final answer
    x = 141,059.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.