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Finding the Third Proportional to 3,124.69 and 6,735.38

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Solution

The third proportional to 3,124.69 and 6,735.38 is: 14,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.69 : 6,735.38 = 6,735.38 : x
  2. Step 2: Convert to fraction form
    3,124.69/6,735.38 = 6,735.38/x
  3. Step 3: Cross multiply
    3,124.69x = 6,735.38 × 6,735.38
  4. Step 4: Simplify right side
    3,124.69x = 45,365,276.39
  5. Step 5: Solve for x
    x = 45,365,276.39/3,124.69
  6. Step 6: Final answer
    x = 14,518.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.