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Finding the Third Proportional to 19,810.69 and 40,532.31

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Solution

The third proportional to 19,810.69 and 40,532.31 is: 82,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.69 : 40,532.31 = 40,532.31 : x
  2. Step 2: Convert to fraction form
    19,810.69/40,532.31 = 40,532.31/x
  3. Step 3: Cross multiply
    19,810.69x = 40,532.31 × 40,532.31
  4. Step 4: Simplify right side
    19,810.69x = 1,642,868,356.60
  5. Step 5: Solve for x
    x = 1,642,868,356.60/19,810.69
  6. Step 6: Final answer
    x = 82,928.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.