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Finding the Third Proportional to 19,024.50 and 27,915

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Solution

The third proportional to 19,024.50 and 27,915 is: 40,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024.50 : 27,915 = 27,915 : x
  2. Step 2: Convert to fraction form
    19,024.50/27,915 = 27,915/x
  3. Step 3: Cross multiply
    19,024.50x = 27,915 × 27,915
  4. Step 4: Simplify right side
    19,024.50x = 779,247,225
  5. Step 5: Solve for x
    x = 779,247,225/19,024.50
  6. Step 6: Final answer
    x = 40,960.19

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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.