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Finding the Third Proportional to 14,594.63 and 22,575.38

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Solution

The third proportional to 14,594.63 and 22,575.38 is: 34,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.63 : 22,575.38 = 22,575.38 : x
  2. Step 2: Convert to fraction form
    14,594.63/22,575.38 = 22,575.38/x
  3. Step 3: Cross multiply
    14,594.63x = 22,575.38 × 22,575.38
  4. Step 4: Simplify right side
    14,594.63x = 509,647,556.39
  5. Step 5: Solve for x
    x = 509,647,556.39/14,594.63
  6. Step 6: Final answer
    x = 34,920.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.