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Finding the Third Proportional to 19,095.75 and 41,972.06

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Solution

The third proportional to 19,095.75 and 41,972.06 is: 92,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,095.75 : 41,972.06 = 41,972.06 : x
  2. Step 2: Convert to fraction form
    19,095.75/41,972.06 = 41,972.06/x
  3. Step 3: Cross multiply
    19,095.75x = 41,972.06 × 41,972.06
  4. Step 4: Simplify right side
    19,095.75x = 1,761,654,030.50
  5. Step 5: Solve for x
    x = 1,761,654,030.50/19,095.75
  6. Step 6: Final answer
    x = 92,253.72

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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.