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Finding the Third Proportional to 41,065 and 53,922.50

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Solution

The third proportional to 41,065 and 53,922.50 is: 70,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,065 : 53,922.50 = 53,922.50 : x
  2. Step 2: Convert to fraction form
    41,065/53,922.50 = 53,922.50/x
  3. Step 3: Cross multiply
    41,065x = 53,922.50 × 53,922.50
  4. Step 4: Simplify right side
    41,065x = 2,907,636,006.25
  5. Step 5: Solve for x
    x = 2,907,636,006.25/41,065
  6. Step 6: Final answer
    x = 70,805.70

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.