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Finding the Third Proportional to 29,718 and 43,692.75

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Solution

The third proportional to 29,718 and 43,692.75 is: 64,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,718 : 43,692.75 = 43,692.75 : x
  2. Step 2: Convert to fraction form
    29,718/43,692.75 = 43,692.75/x
  3. Step 3: Cross multiply
    29,718x = 43,692.75 × 43,692.75
  4. Step 4: Simplify right side
    29,718x = 1,909,056,402.56
  5. Step 5: Solve for x
    x = 1,909,056,402.56/29,718
  6. Step 6: Final answer
    x = 64,239.06

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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.