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Finding the Third Proportional to 5,090.34 and 6,709.08

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Solution

The third proportional to 5,090.34 and 6,709.08 is: 8,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.34 : 6,709.08 = 6,709.08 : x
  2. Step 2: Convert to fraction form
    5,090.34/6,709.08 = 6,709.08/x
  3. Step 3: Cross multiply
    5,090.34x = 6,709.08 × 6,709.08
  4. Step 4: Simplify right side
    5,090.34x = 45,011,729.29
  5. Step 5: Solve for x
    x = 45,011,729.29/5,090.34
  6. Step 6: Final answer
    x = 8,842.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.