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Finding the Third Proportional to 14,031 and 25,965.75

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Solution

The third proportional to 14,031 and 25,965.75 is: 48,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031 : 25,965.75 = 25,965.75 : x
  2. Step 2: Convert to fraction form
    14,031/25,965.75 = 25,965.75/x
  3. Step 3: Cross multiply
    14,031x = 25,965.75 × 25,965.75
  4. Step 4: Simplify right side
    14,031x = 674,220,173.06
  5. Step 5: Solve for x
    x = 674,220,173.06/14,031
  6. Step 6: Final answer
    x = 48,052.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.