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Finding the Third Proportional to 14,362 and 31,553

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Solution

The third proportional to 14,362 and 31,553 is: 69,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362 : 31,553 = 31,553 : x
  2. Step 2: Convert to fraction form
    14,362/31,553 = 31,553/x
  3. Step 3: Cross multiply
    14,362x = 31,553 × 31,553
  4. Step 4: Simplify right side
    14,362x = 995,591,809
  5. Step 5: Solve for x
    x = 995,591,809/14,362
  6. Step 6: Final answer
    x = 69,321.25

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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.