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Finding the Third Proportional to 8,388.98 and 11,352.45

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Solution

The third proportional to 8,388.98 and 11,352.45 is: 15,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.98 : 11,352.45 = 11,352.45 : x
  2. Step 2: Convert to fraction form
    8,388.98/11,352.45 = 11,352.45/x
  3. Step 3: Cross multiply
    8,388.98x = 11,352.45 × 11,352.45
  4. Step 4: Simplify right side
    8,388.98x = 128,878,014.57
  5. Step 5: Solve for x
    x = 128,878,014.57/8,388.98
  6. Step 6: Final answer
    x = 15,362.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.