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Finding the Third Proportional to 19,132.50 and 29,739.75

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Solution

The third proportional to 19,132.50 and 29,739.75 is: 46,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132.50 : 29,739.75 = 29,739.75 : x
  2. Step 2: Convert to fraction form
    19,132.50/29,739.75 = 29,739.75/x
  3. Step 3: Cross multiply
    19,132.50x = 29,739.75 × 29,739.75
  4. Step 4: Simplify right side
    19,132.50x = 884,452,730.06
  5. Step 5: Solve for x
    x = 884,452,730.06/19,132.50
  6. Step 6: Final answer
    x = 46,227.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.