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Finding the Third Proportional to 29,682 and 70,070

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Solution

The third proportional to 29,682 and 70,070 is: 165,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 70,070 = 70,070 : x
  2. Step 2: Convert to fraction form
    29,682/70,070 = 70,070/x
  3. Step 3: Cross multiply
    29,682x = 70,070 × 70,070
  4. Step 4: Simplify right side
    29,682x = 4,909,804,900
  5. Step 5: Solve for x
    x = 4,909,804,900/29,682
  6. Step 6: Final answer
    x = 165,413.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.