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Finding the Third Proportional to 25,827.75 and 55,594.13

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Solution

The third proportional to 25,827.75 and 55,594.13 is: 119,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.75 : 55,594.13 = 55,594.13 : x
  2. Step 2: Convert to fraction form
    25,827.75/55,594.13 = 55,594.13/x
  3. Step 3: Cross multiply
    25,827.75x = 55,594.13 × 55,594.13
  4. Step 4: Simplify right side
    25,827.75x = 3,090,706,734.52
  5. Step 5: Solve for x
    x = 3,090,706,734.52/25,827.75
  6. Step 6: Final answer
    x = 119,666.12

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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.