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Finding the Third Proportional to 19,692.28 and 43,210.97

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Solution

The third proportional to 19,692.28 and 43,210.97 is: 94,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.28 : 43,210.97 = 43,210.97 : x
  2. Step 2: Convert to fraction form
    19,692.28/43,210.97 = 43,210.97/x
  3. Step 3: Cross multiply
    19,692.28x = 43,210.97 × 43,210.97
  4. Step 4: Simplify right side
    19,692.28x = 1,867,187,820.31
  5. Step 5: Solve for x
    x = 1,867,187,820.31/19,692.28
  6. Step 6: Final answer
    x = 94,818.26

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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.