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Finding the Third Proportional to 19,855.50 and 42,590.25

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Solution

The third proportional to 19,855.50 and 42,590.25 is: 91,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.50 : 42,590.25 = 42,590.25 : x
  2. Step 2: Convert to fraction form
    19,855.50/42,590.25 = 42,590.25/x
  3. Step 3: Cross multiply
    19,855.50x = 42,590.25 × 42,590.25
  4. Step 4: Simplify right side
    19,855.50x = 1,813,929,395.06
  5. Step 5: Solve for x
    x = 1,813,929,395.06/19,855.50
  6. Step 6: Final answer
    x = 91,356.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.