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Finding the Third Proportional to 20,513.63 and 30,735.75

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Solution

The third proportional to 20,513.63 and 30,735.75 is: 46,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.63 : 30,735.75 = 30,735.75 : x
  2. Step 2: Convert to fraction form
    20,513.63/30,735.75 = 30,735.75/x
  3. Step 3: Cross multiply
    20,513.63x = 30,735.75 × 30,735.75
  4. Step 4: Simplify right side
    20,513.63x = 944,686,328.06
  5. Step 5: Solve for x
    x = 944,686,328.06/20,513.63
  6. Step 6: Final answer
    x = 46,051.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.