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Finding the Third Proportional to 21,091.64 and 45,685.90

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Solution

The third proportional to 21,091.64 and 45,685.90 is: 98,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.64 : 45,685.90 = 45,685.90 : x
  2. Step 2: Convert to fraction form
    21,091.64/45,685.90 = 45,685.90/x
  3. Step 3: Cross multiply
    21,091.64x = 45,685.90 × 45,685.90
  4. Step 4: Simplify right side
    21,091.64x = 2,087,201,316.04
  5. Step 5: Solve for x
    x = 2,087,201,316.04/21,091.64
  6. Step 6: Final answer
    x = 98,958.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.