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Finding the Third Proportional to 14,838 and 32,591

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Solution

The third proportional to 14,838 and 32,591 is: 71,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 32,591 = 32,591 : x
  2. Step 2: Convert to fraction form
    14,838/32,591 = 32,591/x
  3. Step 3: Cross multiply
    14,838x = 32,591 × 32,591
  4. Step 4: Simplify right side
    14,838x = 1,062,173,281
  5. Step 5: Solve for x
    x = 1,062,173,281/14,838
  6. Step 6: Final answer
    x = 71,584.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.