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Finding the Third Proportional to 40,746 and 54,085.50

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Solution

The third proportional to 40,746 and 54,085.50 is: 71,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,746 : 54,085.50 = 54,085.50 : x
  2. Step 2: Convert to fraction form
    40,746/54,085.50 = 54,085.50/x
  3. Step 3: Cross multiply
    40,746x = 54,085.50 × 54,085.50
  4. Step 4: Simplify right side
    40,746x = 2,925,241,310.25
  5. Step 5: Solve for x
    x = 2,925,241,310.25/40,746
  6. Step 6: Final answer
    x = 71,792.11

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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.