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Finding the Third Proportional to 12,051.28 and 24,689.81

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Solution

The third proportional to 12,051.28 and 24,689.81 is: 50,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.28 : 24,689.81 = 24,689.81 : x
  2. Step 2: Convert to fraction form
    12,051.28/24,689.81 = 24,689.81/x
  3. Step 3: Cross multiply
    12,051.28x = 24,689.81 × 24,689.81
  4. Step 4: Simplify right side
    12,051.28x = 609,586,841.29
  5. Step 5: Solve for x
    x = 609,586,841.29/12,051.28
  6. Step 6: Final answer
    x = 50,582.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.