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Finding the Third Proportional to 13,135.50 and 17,758.50

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Solution

The third proportional to 13,135.50 and 17,758.50 is: 24,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.50 : 17,758.50 = 17,758.50 : x
  2. Step 2: Convert to fraction form
    13,135.50/17,758.50 = 17,758.50/x
  3. Step 3: Cross multiply
    13,135.50x = 17,758.50 × 17,758.50
  4. Step 4: Simplify right side
    13,135.50x = 315,364,322.25
  5. Step 5: Solve for x
    x = 315,364,322.25/13,135.50
  6. Step 6: Final answer
    x = 24,008.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.