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Finding the Third Proportional to 8,023 and 19,328.50

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Solution

The third proportional to 8,023 and 19,328.50 is: 46,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023 : 19,328.50 = 19,328.50 : x
  2. Step 2: Convert to fraction form
    8,023/19,328.50 = 19,328.50/x
  3. Step 3: Cross multiply
    8,023x = 19,328.50 × 19,328.50
  4. Step 4: Simplify right side
    8,023x = 373,590,912.25
  5. Step 5: Solve for x
    x = 373,590,912.25/8,023
  6. Step 6: Final answer
    x = 46,564.99

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.