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Finding the Third Proportional to 5,032.13 and 7,835.48

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Solution

The third proportional to 5,032.13 and 7,835.48 is: 12,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.13 : 7,835.48 = 7,835.48 : x
  2. Step 2: Convert to fraction form
    5,032.13/7,835.48 = 7,835.48/x
  3. Step 3: Cross multiply
    5,032.13x = 7,835.48 × 7,835.48
  4. Step 4: Simplify right side
    5,032.13x = 61,394,815.39
  5. Step 5: Solve for x
    x = 61,394,815.39/5,032.13
  6. Step 6: Final answer
    x = 12,200.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.