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Finding the Third Proportional to 15,582.38 and 28,233.56

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Solution

The third proportional to 15,582.38 and 28,233.56 is: 51,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.38 : 28,233.56 = 28,233.56 : x
  2. Step 2: Convert to fraction form
    15,582.38/28,233.56 = 28,233.56/x
  3. Step 3: Cross multiply
    15,582.38x = 28,233.56 × 28,233.56
  4. Step 4: Simplify right side
    15,582.38x = 797,134,051.44
  5. Step 5: Solve for x
    x = 797,134,051.44/15,582.38
  6. Step 6: Final answer
    x = 51,156.13

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.