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Finding the Third Proportional to 19,323 and 29,029.50

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Solution

The third proportional to 19,323 and 29,029.50 is: 43,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323 : 29,029.50 = 29,029.50 : x
  2. Step 2: Convert to fraction form
    19,323/29,029.50 = 29,029.50/x
  3. Step 3: Cross multiply
    19,323x = 29,029.50 × 29,029.50
  4. Step 4: Simplify right side
    19,323x = 842,711,870.25
  5. Step 5: Solve for x
    x = 842,711,870.25/19,323
  6. Step 6: Final answer
    x = 43,611.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.