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Finding the Third Proportional to 14,965.50 and 22,407

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Solution

The third proportional to 14,965.50 and 22,407 is: 33,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.50 : 22,407 = 22,407 : x
  2. Step 2: Convert to fraction form
    14,965.50/22,407 = 22,407/x
  3. Step 3: Cross multiply
    14,965.50x = 22,407 × 22,407
  4. Step 4: Simplify right side
    14,965.50x = 502,073,649
  5. Step 5: Solve for x
    x = 502,073,649/14,965.50
  6. Step 6: Final answer
    x = 33,548.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.