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Finding the Third Proportional to 17,464.50 and 24,106.50

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Solution

The third proportional to 17,464.50 and 24,106.50 is: 33,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.50 : 24,106.50 = 24,106.50 : x
  2. Step 2: Convert to fraction form
    17,464.50/24,106.50 = 24,106.50/x
  3. Step 3: Cross multiply
    17,464.50x = 24,106.50 × 24,106.50
  4. Step 4: Simplify right side
    17,464.50x = 581,123,342.25
  5. Step 5: Solve for x
    x = 581,123,342.25/17,464.50
  6. Step 6: Final answer
    x = 33,274.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.