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Finding the Third Proportional to 12,206.25 and 26,649.75

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Solution

The third proportional to 12,206.25 and 26,649.75 is: 58,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.25 : 26,649.75 = 26,649.75 : x
  2. Step 2: Convert to fraction form
    12,206.25/26,649.75 = 26,649.75/x
  3. Step 3: Cross multiply
    12,206.25x = 26,649.75 × 26,649.75
  4. Step 4: Simplify right side
    12,206.25x = 710,209,175.06
  5. Step 5: Solve for x
    x = 710,209,175.06/12,206.25
  6. Step 6: Final answer
    x = 58,184.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.