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Finding the Third Proportional to 30,318 and 65,464

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Solution

The third proportional to 30,318 and 65,464 is: 141,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,318 : 65,464 = 65,464 : x
  2. Step 2: Convert to fraction form
    30,318/65,464 = 65,464/x
  3. Step 3: Cross multiply
    30,318x = 65,464 × 65,464
  4. Step 4: Simplify right side
    30,318x = 4,285,535,296
  5. Step 5: Solve for x
    x = 4,285,535,296/30,318
  6. Step 6: Final answer
    x = 141,352.84

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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.