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Finding the Third Proportional to 20,813.63 and 45,434.25

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Solution

The third proportional to 20,813.63 and 45,434.25 is: 99,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.63 : 45,434.25 = 45,434.25 : x
  2. Step 2: Convert to fraction form
    20,813.63/45,434.25 = 45,434.25/x
  3. Step 3: Cross multiply
    20,813.63x = 45,434.25 × 45,434.25
  4. Step 4: Simplify right side
    20,813.63x = 2,064,271,073.06
  5. Step 5: Solve for x
    x = 2,064,271,073.06/20,813.63
  6. Step 6: Final answer
    x = 99,178.83

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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.