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Finding the Third Proportional to 5,890.78 and 7,742.53

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Solution

The third proportional to 5,890.78 and 7,742.53 is: 10,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.78 : 7,742.53 = 7,742.53 : x
  2. Step 2: Convert to fraction form
    5,890.78/7,742.53 = 7,742.53/x
  3. Step 3: Cross multiply
    5,890.78x = 7,742.53 × 7,742.53
  4. Step 4: Simplify right side
    5,890.78x = 59,946,790.16
  5. Step 5: Solve for x
    x = 59,946,790.16/5,890.78
  6. Step 6: Final answer
    x = 10,176.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.