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Finding the Third Proportional to 25,876.13 and 55,714.50

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Solution

The third proportional to 25,876.13 and 55,714.50 is: 119,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.13 : 55,714.50 = 55,714.50 : x
  2. Step 2: Convert to fraction form
    25,876.13/55,714.50 = 55,714.50/x
  3. Step 3: Cross multiply
    25,876.13x = 55,714.50 × 55,714.50
  4. Step 4: Simplify right side
    25,876.13x = 3,104,105,510.25
  5. Step 5: Solve for x
    x = 3,104,105,510.25/25,876.13
  6. Step 6: Final answer
    x = 119,960.21

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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.