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Finding the Third Proportional to 32,707 and 70,647

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Solution

The third proportional to 32,707 and 70,647 is: 152,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707 : 70,647 = 70,647 : x
  2. Step 2: Convert to fraction form
    32,707/70,647 = 70,647/x
  3. Step 3: Cross multiply
    32,707x = 70,647 × 70,647
  4. Step 4: Simplify right side
    32,707x = 4,990,998,609
  5. Step 5: Solve for x
    x = 4,990,998,609/32,707
  6. Step 6: Final answer
    x = 152,597.26

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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.