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Finding the Third Proportional to 13,468.50 and 27,483.75

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Solution

The third proportional to 13,468.50 and 27,483.75 is: 56,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.50 : 27,483.75 = 27,483.75 : x
  2. Step 2: Convert to fraction form
    13,468.50/27,483.75 = 27,483.75/x
  3. Step 3: Cross multiply
    13,468.50x = 27,483.75 × 27,483.75
  4. Step 4: Simplify right side
    13,468.50x = 755,356,514.06
  5. Step 5: Solve for x
    x = 755,356,514.06/13,468.50
  6. Step 6: Final answer
    x = 56,083.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.