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Finding the Third Proportional to 32,819 and 69,739

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Solution

The third proportional to 32,819 and 69,739 is: 148,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819 : 69,739 = 69,739 : x
  2. Step 2: Convert to fraction form
    32,819/69,739 = 69,739/x
  3. Step 3: Cross multiply
    32,819x = 69,739 × 69,739
  4. Step 4: Simplify right side
    32,819x = 4,863,528,121
  5. Step 5: Solve for x
    x = 4,863,528,121/32,819
  6. Step 6: Final answer
    x = 148,192.45

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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.