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Finding the Third Proportional to 12,498.75 and 26,588.63

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Solution

The third proportional to 12,498.75 and 26,588.63 is: 56,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.75 : 26,588.63 = 26,588.63 : x
  2. Step 2: Convert to fraction form
    12,498.75/26,588.63 = 26,588.63/x
  3. Step 3: Cross multiply
    12,498.75x = 26,588.63 × 26,588.63
  4. Step 4: Simplify right side
    12,498.75x = 706,954,979.39
  5. Step 5: Solve for x
    x = 706,954,979.39/12,498.75
  6. Step 6: Final answer
    x = 56,562.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.