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Finding the Third Proportional to 9,835.22 and 15,597.52

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Solution

The third proportional to 9,835.22 and 15,597.52 is: 24,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.22 : 15,597.52 = 15,597.52 : x
  2. Step 2: Convert to fraction form
    9,835.22/15,597.52 = 15,597.52/x
  3. Step 3: Cross multiply
    9,835.22x = 15,597.52 × 15,597.52
  4. Step 4: Simplify right side
    9,835.22x = 243,282,493.67
  5. Step 5: Solve for x
    x = 243,282,493.67/9,835.22
  6. Step 6: Final answer
    x = 24,735.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.