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Finding the Third Proportional to 30,010 and 65,558

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Solution

The third proportional to 30,010 and 65,558 is: 143,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010 : 65,558 = 65,558 : x
  2. Step 2: Convert to fraction form
    30,010/65,558 = 65,558/x
  3. Step 3: Cross multiply
    30,010x = 65,558 × 65,558
  4. Step 4: Simplify right side
    30,010x = 4,297,851,364
  5. Step 5: Solve for x
    x = 4,297,851,364/30,010
  6. Step 6: Final answer
    x = 143,213.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.