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Finding the Third Proportional to 13,851 and 28,518.75

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Solution

The third proportional to 13,851 and 28,518.75 is: 58,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 28,518.75 = 28,518.75 : x
  2. Step 2: Convert to fraction form
    13,851/28,518.75 = 28,518.75/x
  3. Step 3: Cross multiply
    13,851x = 28,518.75 × 28,518.75
  4. Step 4: Simplify right side
    13,851x = 813,319,101.56
  5. Step 5: Solve for x
    x = 813,319,101.56/13,851
  6. Step 6: Final answer
    x = 58,719.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.