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Finding the Third Proportional to 14,492.75 and 20,669.25

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Solution

The third proportional to 14,492.75 and 20,669.25 is: 29,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.75 : 20,669.25 = 20,669.25 : x
  2. Step 2: Convert to fraction form
    14,492.75/20,669.25 = 20,669.25/x
  3. Step 3: Cross multiply
    14,492.75x = 20,669.25 × 20,669.25
  4. Step 4: Simplify right side
    14,492.75x = 427,217,895.56
  5. Step 5: Solve for x
    x = 427,217,895.56/14,492.75
  6. Step 6: Final answer
    x = 29,478.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.