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Finding the Third Proportional to 14,202.84 and 21,304.27

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Solution

The third proportional to 14,202.84 and 21,304.27 is: 31,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.84 : 21,304.27 = 21,304.27 : x
  2. Step 2: Convert to fraction form
    14,202.84/21,304.27 = 21,304.27/x
  3. Step 3: Cross multiply
    14,202.84x = 21,304.27 × 21,304.27
  4. Step 4: Simplify right side
    14,202.84x = 453,871,733.82
  5. Step 5: Solve for x
    x = 453,871,733.82/14,202.84
  6. Step 6: Final answer
    x = 31,956.40

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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.