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Finding the Third Proportional to 7,076.25 and 13,136.25

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Solution

The third proportional to 7,076.25 and 13,136.25 is: 24,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.25 : 13,136.25 = 13,136.25 : x
  2. Step 2: Convert to fraction form
    7,076.25/13,136.25 = 13,136.25/x
  3. Step 3: Cross multiply
    7,076.25x = 13,136.25 × 13,136.25
  4. Step 4: Simplify right side
    7,076.25x = 172,561,064.06
  5. Step 5: Solve for x
    x = 172,561,064.06/7,076.25
  6. Step 6: Final answer
    x = 24,385.95

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.