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Finding the Third Proportional to 5,010 and 7,369.50

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Solution

The third proportional to 5,010 and 7,369.50 is: 10,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010 : 7,369.50 = 7,369.50 : x
  2. Step 2: Convert to fraction form
    5,010/7,369.50 = 7,369.50/x
  3. Step 3: Cross multiply
    5,010x = 7,369.50 × 7,369.50
  4. Step 4: Simplify right side
    5,010x = 54,309,530.25
  5. Step 5: Solve for x
    x = 54,309,530.25/5,010
  6. Step 6: Final answer
    x = 10,840.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.