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Finding the Third Proportional to 12,557 and 27,867.50

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Solution

The third proportional to 12,557 and 27,867.50 is: 61,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557 : 27,867.50 = 27,867.50 : x
  2. Step 2: Convert to fraction form
    12,557/27,867.50 = 27,867.50/x
  3. Step 3: Cross multiply
    12,557x = 27,867.50 × 27,867.50
  4. Step 4: Simplify right side
    12,557x = 776,597,556.25
  5. Step 5: Solve for x
    x = 776,597,556.25/12,557
  6. Step 6: Final answer
    x = 61,845.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.