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Finding the Third Proportional to 14,838.19 and 20,827.13

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Solution

The third proportional to 14,838.19 and 20,827.13 is: 29,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.19 : 20,827.13 = 20,827.13 : x
  2. Step 2: Convert to fraction form
    14,838.19/20,827.13 = 20,827.13/x
  3. Step 3: Cross multiply
    14,838.19x = 20,827.13 × 20,827.13
  4. Step 4: Simplify right side
    14,838.19x = 433,769,135.77
  5. Step 5: Solve for x
    x = 433,769,135.77/14,838.19
  6. Step 6: Final answer
    x = 29,233.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.