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Finding the Third Proportional to 14,582 and 34,997

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Solution

The third proportional to 14,582 and 34,997 is: 83,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582 : 34,997 = 34,997 : x
  2. Step 2: Convert to fraction form
    14,582/34,997 = 34,997/x
  3. Step 3: Cross multiply
    14,582x = 34,997 × 34,997
  4. Step 4: Simplify right side
    14,582x = 1,224,790,009
  5. Step 5: Solve for x
    x = 1,224,790,009/14,582
  6. Step 6: Final answer
    x = 83,993.28

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.