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Finding the Third Proportional to 12,973.92 and 28,423.41

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Solution

The third proportional to 12,973.92 and 28,423.41 is: 62,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.92 : 28,423.41 = 28,423.41 : x
  2. Step 2: Convert to fraction form
    12,973.92/28,423.41 = 28,423.41/x
  3. Step 3: Cross multiply
    12,973.92x = 28,423.41 × 28,423.41
  4. Step 4: Simplify right side
    12,973.92x = 807,890,022.85
  5. Step 5: Solve for x
    x = 807,890,022.85/12,973.92
  6. Step 6: Final answer
    x = 62,270.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.