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Finding the Third Proportional to 45,643.50 and 50,017.50

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Solution

The third proportional to 45,643.50 and 50,017.50 is: 54,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,643.50 : 50,017.50 = 50,017.50 : x
  2. Step 2: Convert to fraction form
    45,643.50/50,017.50 = 50,017.50/x
  3. Step 3: Cross multiply
    45,643.50x = 50,017.50 × 50,017.50
  4. Step 4: Simplify right side
    45,643.50x = 2,501,750,306.25
  5. Step 5: Solve for x
    x = 2,501,750,306.25/45,643.50
  6. Step 6: Final answer
    x = 54,810.66

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.