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Finding the Third Proportional to 12,740.63 and 26,377.31

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Solution

The third proportional to 12,740.63 and 26,377.31 is: 54,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.63 : 26,377.31 = 26,377.31 : x
  2. Step 2: Convert to fraction form
    12,740.63/26,377.31 = 26,377.31/x
  3. Step 3: Cross multiply
    12,740.63x = 26,377.31 × 26,377.31
  4. Step 4: Simplify right side
    12,740.63x = 695,762,614.72
  5. Step 5: Solve for x
    x = 695,762,614.72/12,740.63
  6. Step 6: Final answer
    x = 54,609.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.