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Finding the Third Proportional to 12,486.80 and 26,562.80

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Solution

The third proportional to 12,486.80 and 26,562.80 is: 56,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.80 : 26,562.80 = 26,562.80 : x
  2. Step 2: Convert to fraction form
    12,486.80/26,562.80 = 26,562.80/x
  3. Step 3: Cross multiply
    12,486.80x = 26,562.80 × 26,562.80
  4. Step 4: Simplify right side
    12,486.80x = 705,582,177.82
  5. Step 5: Solve for x
    x = 705,582,177.82/12,486.80
  6. Step 6: Final answer
    x = 56,506.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.