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Finding the Third Proportional to 14,351 and 30,409.25

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Solution

The third proportional to 14,351 and 30,409.25 is: 64,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351 : 30,409.25 = 30,409.25 : x
  2. Step 2: Convert to fraction form
    14,351/30,409.25 = 30,409.25/x
  3. Step 3: Cross multiply
    14,351x = 30,409.25 × 30,409.25
  4. Step 4: Simplify right side
    14,351x = 924,722,485.56
  5. Step 5: Solve for x
    x = 924,722,485.56/14,351
  6. Step 6: Final answer
    x = 64,436.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.