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Finding the Third Proportional to 12,593.81 and 26,483.63

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Solution

The third proportional to 12,593.81 and 26,483.63 is: 55,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.81 : 26,483.63 = 26,483.63 : x
  2. Step 2: Convert to fraction form
    12,593.81/26,483.63 = 26,483.63/x
  3. Step 3: Cross multiply
    12,593.81x = 26,483.63 × 26,483.63
  4. Step 4: Simplify right side
    12,593.81x = 701,382,393.14
  5. Step 5: Solve for x
    x = 701,382,393.14/12,593.81
  6. Step 6: Final answer
    x = 55,692.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.