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Finding the Third Proportional to 3,432 and 6,931.50

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Solution

The third proportional to 3,432 and 6,931.50 is: 13,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432 : 6,931.50 = 6,931.50 : x
  2. Step 2: Convert to fraction form
    3,432/6,931.50 = 6,931.50/x
  3. Step 3: Cross multiply
    3,432x = 6,931.50 × 6,931.50
  4. Step 4: Simplify right side
    3,432x = 48,045,692.25
  5. Step 5: Solve for x
    x = 48,045,692.25/3,432
  6. Step 6: Final answer
    x = 13,999.33

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.