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Finding the Third Proportional to 14,592.38 and 22,800.38

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Solution

The third proportional to 14,592.38 and 22,800.38 is: 35,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.38 : 22,800.38 = 22,800.38 : x
  2. Step 2: Convert to fraction form
    14,592.38/22,800.38 = 22,800.38/x
  3. Step 3: Cross multiply
    14,592.38x = 22,800.38 × 22,800.38
  4. Step 4: Simplify right side
    14,592.38x = 519,857,100.14
  5. Step 5: Solve for x
    x = 519,857,100.14/14,592.38
  6. Step 6: Final answer
    x = 35,625.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.