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Finding the Third Proportional to 15,197.63 and 22,735.69

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Solution

The third proportional to 15,197.63 and 22,735.69 is: 34,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.63 : 22,735.69 = 22,735.69 : x
  2. Step 2: Convert to fraction form
    15,197.63/22,735.69 = 22,735.69/x
  3. Step 3: Cross multiply
    15,197.63x = 22,735.69 × 22,735.69
  4. Step 4: Simplify right side
    15,197.63x = 516,911,486.10
  5. Step 5: Solve for x
    x = 516,911,486.10/15,197.63
  6. Step 6: Final answer
    x = 34,012.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.