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Finding the Third Proportional to 12,403.13 and 26,537.63

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Solution

The third proportional to 12,403.13 and 26,537.63 is: 56,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.13 : 26,537.63 = 26,537.63 : x
  2. Step 2: Convert to fraction form
    12,403.13/26,537.63 = 26,537.63/x
  3. Step 3: Cross multiply
    12,403.13x = 26,537.63 × 26,537.63
  4. Step 4: Simplify right side
    12,403.13x = 704,245,540.64
  5. Step 5: Solve for x
    x = 704,245,540.64/12,403.13
  6. Step 6: Final answer
    x = 56,779.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.