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Finding the Third Proportional to 14,813 and 32,497

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Solution

The third proportional to 14,813 and 32,497 is: 71,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813 : 32,497 = 32,497 : x
  2. Step 2: Convert to fraction form
    14,813/32,497 = 32,497/x
  3. Step 3: Cross multiply
    14,813x = 32,497 × 32,497
  4. Step 4: Simplify right side
    14,813x = 1,056,055,009
  5. Step 5: Solve for x
    x = 1,056,055,009/14,813
  6. Step 6: Final answer
    x = 71,292.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.