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Finding the Third Proportional to 14,709.38 and 22,448.81

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Solution

The third proportional to 14,709.38 and 22,448.81 is: 34,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.38 : 22,448.81 = 22,448.81 : x
  2. Step 2: Convert to fraction form
    14,709.38/22,448.81 = 22,448.81/x
  3. Step 3: Cross multiply
    14,709.38x = 22,448.81 × 22,448.81
  4. Step 4: Simplify right side
    14,709.38x = 503,949,182.66
  5. Step 5: Solve for x
    x = 503,949,182.66/14,709.38
  6. Step 6: Final answer
    x = 34,260.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.