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Finding the Third Proportional to 44,856 and 59,683.50

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Solution

The third proportional to 44,856 and 59,683.50 is: 79,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,856 : 59,683.50 = 59,683.50 : x
  2. Step 2: Convert to fraction form
    44,856/59,683.50 = 59,683.50/x
  3. Step 3: Cross multiply
    44,856x = 59,683.50 × 59,683.50
  4. Step 4: Simplify right side
    44,856x = 3,562,120,172.25
  5. Step 5: Solve for x
    x = 3,562,120,172.25/44,856
  6. Step 6: Final answer
    x = 79,412.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.