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Finding the Third Proportional to 5,201.72 and 5,907.94

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Solution

The third proportional to 5,201.72 and 5,907.94 is: 6,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.72 : 5,907.94 = 5,907.94 : x
  2. Step 2: Convert to fraction form
    5,201.72/5,907.94 = 5,907.94/x
  3. Step 3: Cross multiply
    5,201.72x = 5,907.94 × 5,907.94
  4. Step 4: Simplify right side
    5,201.72x = 34,903,725.50
  5. Step 5: Solve for x
    x = 34,903,725.50/5,201.72
  6. Step 6: Final answer
    x = 6,710.04

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.