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Finding the Third Proportional to 32,964 and 71,112

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Solution

The third proportional to 32,964 and 71,112 is: 153,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964 : 71,112 = 71,112 : x
  2. Step 2: Convert to fraction form
    32,964/71,112 = 71,112/x
  3. Step 3: Cross multiply
    32,964x = 71,112 × 71,112
  4. Step 4: Simplify right side
    32,964x = 5,056,916,544
  5. Step 5: Solve for x
    x = 5,056,916,544/32,964
  6. Step 6: Final answer
    x = 153,407.25

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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.