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Finding the Third Proportional to 45,747 and 54,058.50

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Solution

The third proportional to 45,747 and 54,058.50 is: 63,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,747 : 54,058.50 = 54,058.50 : x
  2. Step 2: Convert to fraction form
    45,747/54,058.50 = 54,058.50/x
  3. Step 3: Cross multiply
    45,747x = 54,058.50 × 54,058.50
  4. Step 4: Simplify right side
    45,747x = 2,922,321,422.25
  5. Step 5: Solve for x
    x = 2,922,321,422.25/45,747
  6. Step 6: Final answer
    x = 63,880.07

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.