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Finding the Third Proportional to 14,207.91 and 21,509.30

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Solution

The third proportional to 14,207.91 and 21,509.30 is: 32,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.91 : 21,509.30 = 21,509.30 : x
  2. Step 2: Convert to fraction form
    14,207.91/21,509.30 = 21,509.30/x
  3. Step 3: Cross multiply
    14,207.91x = 21,509.30 × 21,509.30
  4. Step 4: Simplify right side
    14,207.91x = 462,649,852.06
  5. Step 5: Solve for x
    x = 462,649,852.06/14,207.91
  6. Step 6: Final answer
    x = 32,562.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.