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Finding the Third Proportional to 6,564.80 and 14,052.23

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Solution

The third proportional to 6,564.80 and 14,052.23 is: 30,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.80 : 14,052.23 = 14,052.23 : x
  2. Step 2: Convert to fraction form
    6,564.80/14,052.23 = 14,052.23/x
  3. Step 3: Cross multiply
    6,564.80x = 14,052.23 × 14,052.23
  4. Step 4: Simplify right side
    6,564.80x = 197,465,290.93
  5. Step 5: Solve for x
    x = 197,465,290.93/6,564.80
  6. Step 6: Final answer
    x = 30,079.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.