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Finding the Third Proportional to 15,732 and 28,305

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Solution

The third proportional to 15,732 and 28,305 is: 50,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 28,305 = 28,305 : x
  2. Step 2: Convert to fraction form
    15,732/28,305 = 28,305/x
  3. Step 3: Cross multiply
    15,732x = 28,305 × 28,305
  4. Step 4: Simplify right side
    15,732x = 801,173,025
  5. Step 5: Solve for x
    x = 801,173,025/15,732
  6. Step 6: Final answer
    x = 50,926.33

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.