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Finding the Third Proportional to 5,059.57 and 7,077.14

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Solution

The third proportional to 5,059.57 and 7,077.14 is: 9,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.57 : 7,077.14 = 7,077.14 : x
  2. Step 2: Convert to fraction form
    5,059.57/7,077.14 = 7,077.14/x
  3. Step 3: Cross multiply
    5,059.57x = 7,077.14 × 7,077.14
  4. Step 4: Simplify right side
    5,059.57x = 50,085,877.96
  5. Step 5: Solve for x
    x = 50,085,877.96/5,059.57
  6. Step 6: Final answer
    x = 9,899.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.