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Finding the Third Proportional to 22,415.06 and 46,144.48

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Solution

The third proportional to 22,415.06 and 46,144.48 is: 94,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.06 : 46,144.48 = 46,144.48 : x
  2. Step 2: Convert to fraction form
    22,415.06/46,144.48 = 46,144.48/x
  3. Step 3: Cross multiply
    22,415.06x = 46,144.48 × 46,144.48
  4. Step 4: Simplify right side
    22,415.06x = 2,129,312,717.23
  5. Step 5: Solve for x
    x = 2,129,312,717.23/22,415.06
  6. Step 6: Final answer
    x = 94,994.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.