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Finding the Third Proportional to 5,378.91 and 11,582.16

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Solution

The third proportional to 5,378.91 and 11,582.16 is: 24,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.91 : 11,582.16 = 11,582.16 : x
  2. Step 2: Convert to fraction form
    5,378.91/11,582.16 = 11,582.16/x
  3. Step 3: Cross multiply
    5,378.91x = 11,582.16 × 11,582.16
  4. Step 4: Simplify right side
    5,378.91x = 134,146,343.40
  5. Step 5: Solve for x
    x = 134,146,343.40/5,378.91
  6. Step 6: Final answer
    x = 24,939.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.