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Finding the Third Proportional to 32,411 and 70,821

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Solution

The third proportional to 32,411 and 70,821 is: 154,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411 : 70,821 = 70,821 : x
  2. Step 2: Convert to fraction form
    32,411/70,821 = 70,821/x
  3. Step 3: Cross multiply
    32,411x = 70,821 × 70,821
  4. Step 4: Simplify right side
    32,411x = 5,015,614,041
  5. Step 5: Solve for x
    x = 5,015,614,041/32,411
  6. Step 6: Final answer
    x = 154,750.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.