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Finding the Third Proportional to 32,823 and 71,937

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Solution

The third proportional to 32,823 and 71,937 is: 157,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823 : 71,937 = 71,937 : x
  2. Step 2: Convert to fraction form
    32,823/71,937 = 71,937/x
  3. Step 3: Cross multiply
    32,823x = 71,937 × 71,937
  4. Step 4: Simplify right side
    32,823x = 5,174,931,969
  5. Step 5: Solve for x
    x = 5,174,931,969/32,823
  6. Step 6: Final answer
    x = 157,661.76

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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.