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Finding the Third Proportional to 12,415.78 and 24,079.78

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Solution

The third proportional to 12,415.78 and 24,079.78 is: 46,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 24,079.78 = 24,079.78 : x
  2. Step 2: Convert to fraction form
    12,415.78/24,079.78 = 24,079.78/x
  3. Step 3: Cross multiply
    12,415.78x = 24,079.78 × 24,079.78
  4. Step 4: Simplify right side
    12,415.78x = 579,835,865.05
  5. Step 5: Solve for x
    x = 579,835,865.05/12,415.78
  6. Step 6: Final answer
    x = 46,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.