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Finding the Third Proportional to 13,977 and 20,569.50

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Solution

The third proportional to 13,977 and 20,569.50 is: 30,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977 : 20,569.50 = 20,569.50 : x
  2. Step 2: Convert to fraction form
    13,977/20,569.50 = 20,569.50/x
  3. Step 3: Cross multiply
    13,977x = 20,569.50 × 20,569.50
  4. Step 4: Simplify right side
    13,977x = 423,104,330.25
  5. Step 5: Solve for x
    x = 423,104,330.25/13,977
  6. Step 6: Final answer
    x = 30,271.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.