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Finding the Third Proportional to 4,501.94 and 6,814.97

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Solution

The third proportional to 4,501.94 and 6,814.97 is: 10,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.94 : 6,814.97 = 6,814.97 : x
  2. Step 2: Convert to fraction form
    4,501.94/6,814.97 = 6,814.97/x
  3. Step 3: Cross multiply
    4,501.94x = 6,814.97 × 6,814.97
  4. Step 4: Simplify right side
    4,501.94x = 46,443,799.06
  5. Step 5: Solve for x
    x = 46,443,799.06/4,501.94
  6. Step 6: Final answer
    x = 10,316.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.