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Finding the Third Proportional to 7,586.58 and 16,556.06

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Solution

The third proportional to 7,586.58 and 16,556.06 is: 36,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.58 : 16,556.06 = 16,556.06 : x
  2. Step 2: Convert to fraction form
    7,586.58/16,556.06 = 16,556.06/x
  3. Step 3: Cross multiply
    7,586.58x = 16,556.06 × 16,556.06
  4. Step 4: Simplify right side
    7,586.58x = 274,103,205.50
  5. Step 5: Solve for x
    x = 274,103,205.50/7,586.58
  6. Step 6: Final answer
    x = 36,130.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.