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Finding the Third Proportional to 15,684 and 32,133

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Solution

The third proportional to 15,684 and 32,133 is: 65,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 32,133 = 32,133 : x
  2. Step 2: Convert to fraction form
    15,684/32,133 = 32,133/x
  3. Step 3: Cross multiply
    15,684x = 32,133 × 32,133
  4. Step 4: Simplify right side
    15,684x = 1,032,529,689
  5. Step 5: Solve for x
    x = 1,032,529,689/15,684
  6. Step 6: Final answer
    x = 65,833.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.