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Finding the Third Proportional to 9,592 and 15,068

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Solution

The third proportional to 9,592 and 15,068 is: 23,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592 : 15,068 = 15,068 : x
  2. Step 2: Convert to fraction form
    9,592/15,068 = 15,068/x
  3. Step 3: Cross multiply
    9,592x = 15,068 × 15,068
  4. Step 4: Simplify right side
    9,592x = 227,044,624
  5. Step 5: Solve for x
    x = 227,044,624/9,592
  6. Step 6: Final answer
    x = 23,670.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.