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Finding the Third Proportional to 12,632.63 and 24,657.75

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Solution

The third proportional to 12,632.63 and 24,657.75 is: 48,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.63 : 24,657.75 = 24,657.75 : x
  2. Step 2: Convert to fraction form
    12,632.63/24,657.75 = 24,657.75/x
  3. Step 3: Cross multiply
    12,632.63x = 24,657.75 × 24,657.75
  4. Step 4: Simplify right side
    12,632.63x = 608,004,635.06
  5. Step 5: Solve for x
    x = 608,004,635.06/12,632.63
  6. Step 6: Final answer
    x = 48,129.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.