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Finding the Third Proportional to 43,828.88 and 96,000.75

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Solution

The third proportional to 43,828.88 and 96,000.75 is: 210,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,828.88 : 96,000.75 = 96,000.75 : x
  2. Step 2: Convert to fraction form
    43,828.88/96,000.75 = 96,000.75/x
  3. Step 3: Cross multiply
    43,828.88x = 96,000.75 × 96,000.75
  4. Step 4: Simplify right side
    43,828.88x = 9,216,144,000.56
  5. Step 5: Solve for x
    x = 9,216,144,000.56/43,828.88
  6. Step 6: Final answer
    x = 210,275.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.