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Finding the Third Proportional to 14,364 and 31,628

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Solution

The third proportional to 14,364 and 31,628 is: 69,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 31,628 = 31,628 : x
  2. Step 2: Convert to fraction form
    14,364/31,628 = 31,628/x
  3. Step 3: Cross multiply
    14,364x = 31,628 × 31,628
  4. Step 4: Simplify right side
    14,364x = 1,000,330,384
  5. Step 5: Solve for x
    x = 1,000,330,384/14,364
  6. Step 6: Final answer
    x = 69,641.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.