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Finding the Third Proportional to 4,617 and 10,867.50

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Solution

The third proportional to 4,617 and 10,867.50 is: 25,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 10,867.50 = 10,867.50 : x
  2. Step 2: Convert to fraction form
    4,617/10,867.50 = 10,867.50/x
  3. Step 3: Cross multiply
    4,617x = 10,867.50 × 10,867.50
  4. Step 4: Simplify right side
    4,617x = 118,102,556.25
  5. Step 5: Solve for x
    x = 118,102,556.25/4,617
  6. Step 6: Final answer
    x = 25,579.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.