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Finding the Third Proportional to 25,535.25 and 55,176.19

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Solution

The third proportional to 25,535.25 and 55,176.19 is: 119,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535.25 : 55,176.19 = 55,176.19 : x
  2. Step 2: Convert to fraction form
    25,535.25/55,176.19 = 55,176.19/x
  3. Step 3: Cross multiply
    25,535.25x = 55,176.19 × 55,176.19
  4. Step 4: Simplify right side
    25,535.25x = 3,044,411,667.04
  5. Step 5: Solve for x
    x = 3,044,411,667.04/25,535.25
  6. Step 6: Final answer
    x = 119,223.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.