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Finding the Third Proportional to 30,006 and 63,699

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Solution

The third proportional to 30,006 and 63,699 is: 135,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006 : 63,699 = 63,699 : x
  2. Step 2: Convert to fraction form
    30,006/63,699 = 63,699/x
  3. Step 3: Cross multiply
    30,006x = 63,699 × 63,699
  4. Step 4: Simplify right side
    30,006x = 4,057,562,601
  5. Step 5: Solve for x
    x = 4,057,562,601/30,006
  6. Step 6: Final answer
    x = 135,225.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.