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Finding the Third Proportional to 28,261 and 44,741

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Solution

The third proportional to 28,261 and 44,741 is: 70,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,261 : 44,741 = 44,741 : x
  2. Step 2: Convert to fraction form
    28,261/44,741 = 44,741/x
  3. Step 3: Cross multiply
    28,261x = 44,741 × 44,741
  4. Step 4: Simplify right side
    28,261x = 2,001,757,081
  5. Step 5: Solve for x
    x = 2,001,757,081/28,261
  6. Step 6: Final answer
    x = 70,831.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.