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Finding the Third Proportional to 8,842.50 and 18,907.50

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Solution

The third proportional to 8,842.50 and 18,907.50 is: 40,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.50 : 18,907.50 = 18,907.50 : x
  2. Step 2: Convert to fraction form
    8,842.50/18,907.50 = 18,907.50/x
  3. Step 3: Cross multiply
    8,842.50x = 18,907.50 × 18,907.50
  4. Step 4: Simplify right side
    8,842.50x = 357,493,556.25
  5. Step 5: Solve for x
    x = 357,493,556.25/8,842.50
  6. Step 6: Final answer
    x = 40,429.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.