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Finding the Third Proportional to 19,124.44 and 29,539.69

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Solution

The third proportional to 19,124.44 and 29,539.69 is: 45,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124.44 : 29,539.69 = 29,539.69 : x
  2. Step 2: Convert to fraction form
    19,124.44/29,539.69 = 29,539.69/x
  3. Step 3: Cross multiply
    19,124.44x = 29,539.69 × 29,539.69
  4. Step 4: Simplify right side
    19,124.44x = 872,593,137.60
  5. Step 5: Solve for x
    x = 872,593,137.60/19,124.44
  6. Step 6: Final answer
    x = 45,627.13

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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.