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Finding the Third Proportional to 19,014 and 29,263.50

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Solution

The third proportional to 19,014 and 29,263.50 is: 45,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014 : 29,263.50 = 29,263.50 : x
  2. Step 2: Convert to fraction form
    19,014/29,263.50 = 29,263.50/x
  3. Step 3: Cross multiply
    19,014x = 29,263.50 × 29,263.50
  4. Step 4: Simplify right side
    19,014x = 856,352,432.25
  5. Step 5: Solve for x
    x = 856,352,432.25/19,014
  6. Step 6: Final answer
    x = 45,037.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.