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Finding the Third Proportional to 47,828.07 and 69,139.09

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Solution

The third proportional to 47,828.07 and 69,139.09 is: 99,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828.07 : 69,139.09 = 69,139.09 : x
  2. Step 2: Convert to fraction form
    47,828.07/69,139.09 = 69,139.09/x
  3. Step 3: Cross multiply
    47,828.07x = 69,139.09 × 69,139.09
  4. Step 4: Simplify right side
    47,828.07x = 4,780,213,744.42
  5. Step 5: Solve for x
    x = 4,780,213,744.42/47,828.07
  6. Step 6: Final answer
    x = 99,945.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.