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Finding the Third Proportional to 13,203 and 23,479.88

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Solution

The third proportional to 13,203 and 23,479.88 is: 41,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 23,479.88 = 23,479.88 : x
  2. Step 2: Convert to fraction form
    13,203/23,479.88 = 23,479.88/x
  3. Step 3: Cross multiply
    13,203x = 23,479.88 × 23,479.88
  4. Step 4: Simplify right side
    13,203x = 551,304,530.02
  5. Step 5: Solve for x
    x = 551,304,530.02/13,203
  6. Step 6: Final answer
    x = 41,756.00

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.