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Finding the Third Proportional to 14,203.88 and 30,999.75

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Solution

The third proportional to 14,203.88 and 30,999.75 is: 67,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.88 : 30,999.75 = 30,999.75 : x
  2. Step 2: Convert to fraction form
    14,203.88/30,999.75 = 30,999.75/x
  3. Step 3: Cross multiply
    14,203.88x = 30,999.75 × 30,999.75
  4. Step 4: Simplify right side
    14,203.88x = 960,984,500.06
  5. Step 5: Solve for x
    x = 960,984,500.06/14,203.88
  6. Step 6: Final answer
    x = 67,656.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.