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Finding the Third Proportional to 5,930.96 and 12,528.62

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Solution

The third proportional to 5,930.96 and 12,528.62 is: 26,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.96 : 12,528.62 = 12,528.62 : x
  2. Step 2: Convert to fraction form
    5,930.96/12,528.62 = 12,528.62/x
  3. Step 3: Cross multiply
    5,930.96x = 12,528.62 × 12,528.62
  4. Step 4: Simplify right side
    5,930.96x = 156,966,309.81
  5. Step 5: Solve for x
    x = 156,966,309.81/5,930.96
  6. Step 6: Final answer
    x = 26,465.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.