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Finding the Third Proportional to 20,418 and 29,923.50

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Solution

The third proportional to 20,418 and 29,923.50 is: 43,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,418 : 29,923.50 = 29,923.50 : x
  2. Step 2: Convert to fraction form
    20,418/29,923.50 = 29,923.50/x
  3. Step 3: Cross multiply
    20,418x = 29,923.50 × 29,923.50
  4. Step 4: Simplify right side
    20,418x = 895,415,852.25
  5. Step 5: Solve for x
    x = 895,415,852.25/20,418
  6. Step 6: Final answer
    x = 43,854.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.