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Finding the Third Proportional to 20,017.50 and 46,335.75

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Solution

The third proportional to 20,017.50 and 46,335.75 is: 107,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.50 : 46,335.75 = 46,335.75 : x
  2. Step 2: Convert to fraction form
    20,017.50/46,335.75 = 46,335.75/x
  3. Step 3: Cross multiply
    20,017.50x = 46,335.75 × 46,335.75
  4. Step 4: Simplify right side
    20,017.50x = 2,147,001,728.06
  5. Step 5: Solve for x
    x = 2,147,001,728.06/20,017.50
  6. Step 6: Final answer
    x = 107,256.24

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.