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Finding the Third Proportional to 41,580 and 63,328.50

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Solution

The third proportional to 41,580 and 63,328.50 is: 96,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 63,328.50 = 63,328.50 : x
  2. Step 2: Convert to fraction form
    41,580/63,328.50 = 63,328.50/x
  3. Step 3: Cross multiply
    41,580x = 63,328.50 × 63,328.50
  4. Step 4: Simplify right side
    41,580x = 4,010,498,912.25
  5. Step 5: Solve for x
    x = 4,010,498,912.25/41,580
  6. Step 6: Final answer
    x = 96,452.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.