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Finding the Third Proportional to 12,579 and 26,656.50

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Solution

The third proportional to 12,579 and 26,656.50 is: 56,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579 : 26,656.50 = 26,656.50 : x
  2. Step 2: Convert to fraction form
    12,579/26,656.50 = 26,656.50/x
  3. Step 3: Cross multiply
    12,579x = 26,656.50 × 26,656.50
  4. Step 4: Simplify right side
    12,579x = 710,568,992.25
  5. Step 5: Solve for x
    x = 710,568,992.25/12,579
  6. Step 6: Final answer
    x = 56,488.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.