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Finding the Third Proportional to 7,565.25 and 16,172.81

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Solution

The third proportional to 7,565.25 and 16,172.81 is: 34,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.25 : 16,172.81 = 16,172.81 : x
  2. Step 2: Convert to fraction form
    7,565.25/16,172.81 = 16,172.81/x
  3. Step 3: Cross multiply
    7,565.25x = 16,172.81 × 16,172.81
  4. Step 4: Simplify right side
    7,565.25x = 261,559,864.16
  5. Step 5: Solve for x
    x = 261,559,864.16/7,565.25
  6. Step 6: Final answer
    x = 34,573.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.