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Finding the Third Proportional to 20,659.50 and 45,139.50

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Solution

The third proportional to 20,659.50 and 45,139.50 is: 98,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.50 : 45,139.50 = 45,139.50 : x
  2. Step 2: Convert to fraction form
    20,659.50/45,139.50 = 45,139.50/x
  3. Step 3: Cross multiply
    20,659.50x = 45,139.50 × 45,139.50
  4. Step 4: Simplify right side
    20,659.50x = 2,037,574,460.25
  5. Step 5: Solve for x
    x = 2,037,574,460.25/20,659.50
  6. Step 6: Final answer
    x = 98,626.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.