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Finding the Third Proportional to 28,705.13 and 41,923.63

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Solution

The third proportional to 28,705.13 and 41,923.63 is: 61,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,705.13 : 41,923.63 = 41,923.63 : x
  2. Step 2: Convert to fraction form
    28,705.13/41,923.63 = 41,923.63/x
  3. Step 3: Cross multiply
    28,705.13x = 41,923.63 × 41,923.63
  4. Step 4: Simplify right side
    28,705.13x = 1,757,590,333.14
  5. Step 5: Solve for x
    x = 1,757,590,333.14/28,705.13
  6. Step 6: Final answer
    x = 61,229.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.