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Finding the Third Proportional to 17,854.80 and 39,235.01

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Solution

The third proportional to 17,854.80 and 39,235.01 is: 86,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.80 : 39,235.01 = 39,235.01 : x
  2. Step 2: Convert to fraction form
    17,854.80/39,235.01 = 39,235.01/x
  3. Step 3: Cross multiply
    17,854.80x = 39,235.01 × 39,235.01
  4. Step 4: Simplify right side
    17,854.80x = 1,539,385,838.05
  5. Step 5: Solve for x
    x = 1,539,385,838.05/17,854.80
  6. Step 6: Final answer
    x = 86,216.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.