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Finding the Third Proportional to 31,446 and 65,443.50

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Solution

The third proportional to 31,446 and 65,443.50 is: 136,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446 : 65,443.50 = 65,443.50 : x
  2. Step 2: Convert to fraction form
    31,446/65,443.50 = 65,443.50/x
  3. Step 3: Cross multiply
    31,446x = 65,443.50 × 65,443.50
  4. Step 4: Simplify right side
    31,446x = 4,282,851,692.25
  5. Step 5: Solve for x
    x = 4,282,851,692.25/31,446
  6. Step 6: Final answer
    x = 136,197.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.