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Finding the Third Proportional to 10,312 and 13,732

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Solution

The third proportional to 10,312 and 13,732 is: 18,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 13,732 = 13,732 : x
  2. Step 2: Convert to fraction form
    10,312/13,732 = 13,732/x
  3. Step 3: Cross multiply
    10,312x = 13,732 × 13,732
  4. Step 4: Simplify right side
    10,312x = 188,567,824
  5. Step 5: Solve for x
    x = 188,567,824/10,312
  6. Step 6: Final answer
    x = 18,286.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.