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Finding the Third Proportional to 40,534.50 and 54,569.25

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Solution

The third proportional to 40,534.50 and 54,569.25 is: 73,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,534.50 : 54,569.25 = 54,569.25 : x
  2. Step 2: Convert to fraction form
    40,534.50/54,569.25 = 54,569.25/x
  3. Step 3: Cross multiply
    40,534.50x = 54,569.25 × 54,569.25
  4. Step 4: Simplify right side
    40,534.50x = 2,977,803,045.56
  5. Step 5: Solve for x
    x = 2,977,803,045.56/40,534.50
  6. Step 6: Final answer
    x = 73,463.42

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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.