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Finding the Third Proportional to 7,527 and 11,721.38

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Solution

The third proportional to 7,527 and 11,721.38 is: 18,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527 : 11,721.38 = 11,721.38 : x
  2. Step 2: Convert to fraction form
    7,527/11,721.38 = 11,721.38/x
  3. Step 3: Cross multiply
    7,527x = 11,721.38 × 11,721.38
  4. Step 4: Simplify right side
    7,527x = 137,390,631.89
  5. Step 5: Solve for x
    x = 137,390,631.89/7,527
  6. Step 6: Final answer
    x = 18,253.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.