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Finding the Third Proportional to 21,967.84 and 33,259.84

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Solution

The third proportional to 21,967.84 and 33,259.84 is: 50,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.84 : 33,259.84 = 33,259.84 : x
  2. Step 2: Convert to fraction form
    21,967.84/33,259.84 = 33,259.84/x
  3. Step 3: Cross multiply
    21,967.84x = 33,259.84 × 33,259.84
  4. Step 4: Simplify right side
    21,967.84x = 1,106,217,206.27
  5. Step 5: Solve for x
    x = 1,106,217,206.27/21,967.84
  6. Step 6: Final answer
    x = 50,356.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.