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Finding the Third Proportional to 14,205.66 and 21,308.48

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Solution

The third proportional to 14,205.66 and 21,308.48 is: 31,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.66 : 21,308.48 = 21,308.48 : x
  2. Step 2: Convert to fraction form
    14,205.66/21,308.48 = 21,308.48/x
  3. Step 3: Cross multiply
    14,205.66x = 21,308.48 × 21,308.48
  4. Step 4: Simplify right side
    14,205.66x = 454,051,506.36
  5. Step 5: Solve for x
    x = 454,051,506.36/14,205.66
  6. Step 6: Final answer
    x = 31,962.73

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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.