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Finding the Third Proportional to 7,252.88 and 10,852.31

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Solution

The third proportional to 7,252.88 and 10,852.31 is: 16,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.88 : 10,852.31 = 10,852.31 : x
  2. Step 2: Convert to fraction form
    7,252.88/10,852.31 = 10,852.31/x
  3. Step 3: Cross multiply
    7,252.88x = 10,852.31 × 10,852.31
  4. Step 4: Simplify right side
    7,252.88x = 117,772,686.60
  5. Step 5: Solve for x
    x = 117,772,686.60/7,252.88
  6. Step 6: Final answer
    x = 16,238.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.