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Finding the Third Proportional to 23,692.50 and 36,973.97

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Solution

The third proportional to 23,692.50 and 36,973.97 is: 57,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.50 : 36,973.97 = 36,973.97 : x
  2. Step 2: Convert to fraction form
    23,692.50/36,973.97 = 36,973.97/x
  3. Step 3: Cross multiply
    23,692.50x = 36,973.97 × 36,973.97
  4. Step 4: Simplify right side
    23,692.50x = 1,367,074,365.13
  5. Step 5: Solve for x
    x = 1,367,074,365.13/23,692.50
  6. Step 6: Final answer
    x = 57,700.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.