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Finding the Third Proportional to 11,925.98 and 26,235.46

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Solution

The third proportional to 11,925.98 and 26,235.46 is: 57,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.98 : 26,235.46 = 26,235.46 : x
  2. Step 2: Convert to fraction form
    11,925.98/26,235.46 = 26,235.46/x
  3. Step 3: Cross multiply
    11,925.98x = 26,235.46 × 26,235.46
  4. Step 4: Simplify right side
    11,925.98x = 688,299,205.64
  5. Step 5: Solve for x
    x = 688,299,205.64/11,925.98
  6. Step 6: Final answer
    x = 57,714.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.