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Finding the Third Proportional to 6,591 and 14,639

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Solution

The third proportional to 6,591 and 14,639 is: 32,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591 : 14,639 = 14,639 : x
  2. Step 2: Convert to fraction form
    6,591/14,639 = 14,639/x
  3. Step 3: Cross multiply
    6,591x = 14,639 × 14,639
  4. Step 4: Simplify right side
    6,591x = 214,300,321
  5. Step 5: Solve for x
    x = 214,300,321/6,591
  6. Step 6: Final answer
    x = 32,514.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.