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Finding the Third Proportional to 10,230.50 and 15,010

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Solution

The third proportional to 10,230.50 and 15,010 is: 22,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.50 : 15,010 = 15,010 : x
  2. Step 2: Convert to fraction form
    10,230.50/15,010 = 15,010/x
  3. Step 3: Cross multiply
    10,230.50x = 15,010 × 15,010
  4. Step 4: Simplify right side
    10,230.50x = 225,300,100
  5. Step 5: Solve for x
    x = 225,300,100/10,230.50
  6. Step 6: Final answer
    x = 22,022.39

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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.