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Finding the Third Proportional to 5,173 and 7,540.50

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Solution

The third proportional to 5,173 and 7,540.50 is: 10,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173 : 7,540.50 = 7,540.50 : x
  2. Step 2: Convert to fraction form
    5,173/7,540.50 = 7,540.50/x
  3. Step 3: Cross multiply
    5,173x = 7,540.50 × 7,540.50
  4. Step 4: Simplify right side
    5,173x = 56,859,140.25
  5. Step 5: Solve for x
    x = 56,859,140.25/5,173
  6. Step 6: Final answer
    x = 10,991.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.