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Finding the Third Proportional to 22,619.81 and 33,271.31

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Solution

The third proportional to 22,619.81 and 33,271.31 is: 48,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.81 : 33,271.31 = 33,271.31 : x
  2. Step 2: Convert to fraction form
    22,619.81/33,271.31 = 33,271.31/x
  3. Step 3: Cross multiply
    22,619.81x = 33,271.31 × 33,271.31
  4. Step 4: Simplify right side
    22,619.81x = 1,106,980,235.47
  5. Step 5: Solve for x
    x = 1,106,980,235.47/22,619.81
  6. Step 6: Final answer
    x = 48,938.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.