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Finding the Third Proportional to 14,997 and 34,718.25

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Solution

The third proportional to 14,997 and 34,718.25 is: 80,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997 : 34,718.25 = 34,718.25 : x
  2. Step 2: Convert to fraction form
    14,997/34,718.25 = 34,718.25/x
  3. Step 3: Cross multiply
    14,997x = 34,718.25 × 34,718.25
  4. Step 4: Simplify right side
    14,997x = 1,205,356,883.06
  5. Step 5: Solve for x
    x = 1,205,356,883.06/14,997
  6. Step 6: Final answer
    x = 80,373.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.