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Finding the Third Proportional to 21,550 and 45,708.50

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Solution

The third proportional to 21,550 and 45,708.50 is: 96,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,550 : 45,708.50 = 45,708.50 : x
  2. Step 2: Convert to fraction form
    21,550/45,708.50 = 45,708.50/x
  3. Step 3: Cross multiply
    21,550x = 45,708.50 × 45,708.50
  4. Step 4: Simplify right side
    21,550x = 2,089,266,972.25
  5. Step 5: Solve for x
    x = 2,089,266,972.25/21,550
  6. Step 6: Final answer
    x = 96,949.74

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.