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Finding the Third Proportional to 19,401 and 29,263.50

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Solution

The third proportional to 19,401 and 29,263.50 is: 44,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401 : 29,263.50 = 29,263.50 : x
  2. Step 2: Convert to fraction form
    19,401/29,263.50 = 29,263.50/x
  3. Step 3: Cross multiply
    19,401x = 29,263.50 × 29,263.50
  4. Step 4: Simplify right side
    19,401x = 856,352,432.25
  5. Step 5: Solve for x
    x = 856,352,432.25/19,401
  6. Step 6: Final answer
    x = 44,139.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.