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Finding the Third Proportional to 7,527 and 11,907

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Solution

The third proportional to 7,527 and 11,907 is: 18,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527 : 11,907 = 11,907 : x
  2. Step 2: Convert to fraction form
    7,527/11,907 = 11,907/x
  3. Step 3: Cross multiply
    7,527x = 11,907 × 11,907
  4. Step 4: Simplify right side
    7,527x = 141,776,649
  5. Step 5: Solve for x
    x = 141,776,649/7,527
  6. Step 6: Final answer
    x = 18,835.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.