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Finding the Third Proportional to 13,873.50 and 28,262.25

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Solution

The third proportional to 13,873.50 and 28,262.25 is: 57,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.50 : 28,262.25 = 28,262.25 : x
  2. Step 2: Convert to fraction form
    13,873.50/28,262.25 = 28,262.25/x
  3. Step 3: Cross multiply
    13,873.50x = 28,262.25 × 28,262.25
  4. Step 4: Simplify right side
    13,873.50x = 798,754,775.06
  5. Step 5: Solve for x
    x = 798,754,775.06/13,873.50
  6. Step 6: Final answer
    x = 57,574.14

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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.