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Finding the Third Proportional to 19,083.75 and 28,834.50

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Solution

The third proportional to 19,083.75 and 28,834.50 is: 43,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,083.75 : 28,834.50 = 28,834.50 : x
  2. Step 2: Convert to fraction form
    19,083.75/28,834.50 = 28,834.50/x
  3. Step 3: Cross multiply
    19,083.75x = 28,834.50 × 28,834.50
  4. Step 4: Simplify right side
    19,083.75x = 831,428,390.25
  5. Step 5: Solve for x
    x = 831,428,390.25/19,083.75
  6. Step 6: Final answer
    x = 43,567.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.