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Finding the Third Proportional to 40,783 and 54,886.50

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Solution

The third proportional to 40,783 and 54,886.50 is: 73,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783 : 54,886.50 = 54,886.50 : x
  2. Step 2: Convert to fraction form
    40,783/54,886.50 = 54,886.50/x
  3. Step 3: Cross multiply
    40,783x = 54,886.50 × 54,886.50
  4. Step 4: Simplify right side
    40,783x = 3,012,527,882.25
  5. Step 5: Solve for x
    x = 3,012,527,882.25/40,783
  6. Step 6: Final answer
    x = 73,867.25

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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.