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Finding the Third Proportional to 8,602.50 and 11,461.50

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Solution

The third proportional to 8,602.50 and 11,461.50 is: 15,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.50 : 11,461.50 = 11,461.50 : x
  2. Step 2: Convert to fraction form
    8,602.50/11,461.50 = 11,461.50/x
  3. Step 3: Cross multiply
    8,602.50x = 11,461.50 × 11,461.50
  4. Step 4: Simplify right side
    8,602.50x = 131,365,982.25
  5. Step 5: Solve for x
    x = 131,365,982.25/8,602.50
  6. Step 6: Final answer
    x = 15,270.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.