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Finding the Third Proportional to 32,373 and 47,692.50

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Solution

The third proportional to 32,373 and 47,692.50 is: 70,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,373 : 47,692.50 = 47,692.50 : x
  2. Step 2: Convert to fraction form
    32,373/47,692.50 = 47,692.50/x
  3. Step 3: Cross multiply
    32,373x = 47,692.50 × 47,692.50
  4. Step 4: Simplify right side
    32,373x = 2,274,574,556.25
  5. Step 5: Solve for x
    x = 2,274,574,556.25/32,373
  6. Step 6: Final answer
    x = 70,261.47

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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.