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Finding the Third Proportional to 15,582.38 and 20,093.06

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Solution

The third proportional to 15,582.38 and 20,093.06 is: 25,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.38 : 20,093.06 = 20,093.06 : x
  2. Step 2: Convert to fraction form
    15,582.38/20,093.06 = 20,093.06/x
  3. Step 3: Cross multiply
    15,582.38x = 20,093.06 × 20,093.06
  4. Step 4: Simplify right side
    15,582.38x = 403,731,160.63
  5. Step 5: Solve for x
    x = 403,731,160.63/15,582.38
  6. Step 6: Final answer
    x = 25,909.48

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.