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Finding the Third Proportional to 18,048.94 and 39,585.38

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Solution

The third proportional to 18,048.94 and 39,585.38 is: 86,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,048.94 : 39,585.38 = 39,585.38 : x
  2. Step 2: Convert to fraction form
    18,048.94/39,585.38 = 39,585.38/x
  3. Step 3: Cross multiply
    18,048.94x = 39,585.38 × 39,585.38
  4. Step 4: Simplify right side
    18,048.94x = 1,567,001,913.89
  5. Step 5: Solve for x
    x = 1,567,001,913.89/18,048.94
  6. Step 6: Final answer
    x = 86,819.62

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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.