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Finding the Third Proportional to 6,465 and 14,104.50

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Solution

The third proportional to 6,465 and 14,104.50 is: 30,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 14,104.50 = 14,104.50 : x
  2. Step 2: Convert to fraction form
    6,465/14,104.50 = 14,104.50/x
  3. Step 3: Cross multiply
    6,465x = 14,104.50 × 14,104.50
  4. Step 4: Simplify right side
    6,465x = 198,936,920.25
  5. Step 5: Solve for x
    x = 198,936,920.25/6,465
  6. Step 6: Final answer
    x = 30,771.37

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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.