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Finding the Third Proportional to 34,821 and 53,047.75

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Solution

The third proportional to 34,821 and 53,047.75 is: 80,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,821 : 53,047.75 = 53,047.75 : x
  2. Step 2: Convert to fraction form
    34,821/53,047.75 = 53,047.75/x
  3. Step 3: Cross multiply
    34,821x = 53,047.75 × 53,047.75
  4. Step 4: Simplify right side
    34,821x = 2,814,063,780.06
  5. Step 5: Solve for x
    x = 2,814,063,780.06/34,821
  6. Step 6: Final answer
    x = 80,815.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.