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Finding the Third Proportional to 44,300.25 and 59,683.50

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Solution

The third proportional to 44,300.25 and 59,683.50 is: 80,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,300.25 : 59,683.50 = 59,683.50 : x
  2. Step 2: Convert to fraction form
    44,300.25/59,683.50 = 59,683.50/x
  3. Step 3: Cross multiply
    44,300.25x = 59,683.50 × 59,683.50
  4. Step 4: Simplify right side
    44,300.25x = 3,562,120,172.25
  5. Step 5: Solve for x
    x = 3,562,120,172.25/44,300.25
  6. Step 6: Final answer
    x = 80,408.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.