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Finding the Third Proportional to 6,214.50 and 9,699.75

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Solution

The third proportional to 6,214.50 and 9,699.75 is: 15,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.50 : 9,699.75 = 9,699.75 : x
  2. Step 2: Convert to fraction form
    6,214.50/9,699.75 = 9,699.75/x
  3. Step 3: Cross multiply
    6,214.50x = 9,699.75 × 9,699.75
  4. Step 4: Simplify right side
    6,214.50x = 94,085,150.06
  5. Step 5: Solve for x
    x = 94,085,150.06/6,214.50
  6. Step 6: Final answer
    x = 15,139.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.