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Finding the Third Proportional to 14,974.88 and 22,735.69

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Solution

The third proportional to 14,974.88 and 22,735.69 is: 34,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.88 : 22,735.69 = 22,735.69 : x
  2. Step 2: Convert to fraction form
    14,974.88/22,735.69 = 22,735.69/x
  3. Step 3: Cross multiply
    14,974.88x = 22,735.69 × 22,735.69
  4. Step 4: Simplify right side
    14,974.88x = 516,911,486.10
  5. Step 5: Solve for x
    x = 516,911,486.10/14,974.88
  6. Step 6: Final answer
    x = 34,518.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.