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Finding the Third Proportional to 30,362 and 65,715

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Solution

The third proportional to 30,362 and 65,715 is: 142,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362 : 65,715 = 65,715 : x
  2. Step 2: Convert to fraction form
    30,362/65,715 = 65,715/x
  3. Step 3: Cross multiply
    30,362x = 65,715 × 65,715
  4. Step 4: Simplify right side
    30,362x = 4,318,461,225
  5. Step 5: Solve for x
    x = 4,318,461,225/30,362
  6. Step 6: Final answer
    x = 142,232.44

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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.