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Finding the Third Proportional to 8,038 and 12,790.50

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Solution

The third proportional to 8,038 and 12,790.50 is: 20,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038 : 12,790.50 = 12,790.50 : x
  2. Step 2: Convert to fraction form
    8,038/12,790.50 = 12,790.50/x
  3. Step 3: Cross multiply
    8,038x = 12,790.50 × 12,790.50
  4. Step 4: Simplify right side
    8,038x = 163,596,890.25
  5. Step 5: Solve for x
    x = 163,596,890.25/8,038
  6. Step 6: Final answer
    x = 20,352.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.