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Finding the Third Proportional to 8,797.50 and 15,637.50

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Solution

The third proportional to 8,797.50 and 15,637.50 is: 27,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797.50 : 15,637.50 = 15,637.50 : x
  2. Step 2: Convert to fraction form
    8,797.50/15,637.50 = 15,637.50/x
  3. Step 3: Cross multiply
    8,797.50x = 15,637.50 × 15,637.50
  4. Step 4: Simplify right side
    8,797.50x = 244,531,406.25
  5. Step 5: Solve for x
    x = 244,531,406.25/8,797.50
  6. Step 6: Final answer
    x = 27,795.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.