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Finding the Third Proportional to 11,582.37 and 16,937.86

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Solution

The third proportional to 11,582.37 and 16,937.86 is: 24,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.37 : 16,937.86 = 16,937.86 : x
  2. Step 2: Convert to fraction form
    11,582.37/16,937.86 = 16,937.86/x
  3. Step 3: Cross multiply
    11,582.37x = 16,937.86 × 16,937.86
  4. Step 4: Simplify right side
    11,582.37x = 286,891,080.21
  5. Step 5: Solve for x
    x = 286,891,080.21/11,582.37
  6. Step 6: Final answer
    x = 24,769.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.