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Finding the Third Proportional to 32,698 and 70,816

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Solution

The third proportional to 32,698 and 70,816 is: 153,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698 : 70,816 = 70,816 : x
  2. Step 2: Convert to fraction form
    32,698/70,816 = 70,816/x
  3. Step 3: Cross multiply
    32,698x = 70,816 × 70,816
  4. Step 4: Simplify right side
    32,698x = 5,014,905,856
  5. Step 5: Solve for x
    x = 5,014,905,856/32,698
  6. Step 6: Final answer
    x = 153,370.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.