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Finding the Third Proportional to 14,509.13 and 21,709.69

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Solution

The third proportional to 14,509.13 and 21,709.69 is: 32,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.13 : 21,709.69 = 21,709.69 : x
  2. Step 2: Convert to fraction form
    14,509.13/21,709.69 = 21,709.69/x
  3. Step 3: Cross multiply
    14,509.13x = 21,709.69 × 21,709.69
  4. Step 4: Simplify right side
    14,509.13x = 471,310,531.35
  5. Step 5: Solve for x
    x = 471,310,531.35/14,509.13
  6. Step 6: Final answer
    x = 32,483.73

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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.