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Finding the Third Proportional to 6,004.13 and 6,783.75

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Solution

The third proportional to 6,004.13 and 6,783.75 is: 7,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.13 : 6,783.75 = 6,783.75 : x
  2. Step 2: Convert to fraction form
    6,004.13/6,783.75 = 6,783.75/x
  3. Step 3: Cross multiply
    6,004.13x = 6,783.75 × 6,783.75
  4. Step 4: Simplify right side
    6,004.13x = 46,019,264.06
  5. Step 5: Solve for x
    x = 46,019,264.06/6,004.13
  6. Step 6: Final answer
    x = 7,664.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.