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Finding the Third Proportional to 7,570 and 11,137

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Solution

The third proportional to 7,570 and 11,137 is: 16,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570 : 11,137 = 11,137 : x
  2. Step 2: Convert to fraction form
    7,570/11,137 = 11,137/x
  3. Step 3: Cross multiply
    7,570x = 11,137 × 11,137
  4. Step 4: Simplify right side
    7,570x = 124,032,769
  5. Step 5: Solve for x
    x = 124,032,769/7,570
  6. Step 6: Final answer
    x = 16,384.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.