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Finding the Third Proportional to 14,301.38 and 21,877.69

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Solution

The third proportional to 14,301.38 and 21,877.69 is: 33,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.38 : 21,877.69 = 21,877.69 : x
  2. Step 2: Convert to fraction form
    14,301.38/21,877.69 = 21,877.69/x
  3. Step 3: Cross multiply
    14,301.38x = 21,877.69 × 21,877.69
  4. Step 4: Simplify right side
    14,301.38x = 478,633,210.35
  5. Step 5: Solve for x
    x = 478,633,210.35/14,301.38
  6. Step 6: Final answer
    x = 33,467.64

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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.