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Finding the Third Proportional to 7,570 and 11,391

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Solution

The third proportional to 7,570 and 11,391 is: 17,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570 : 11,391 = 11,391 : x
  2. Step 2: Convert to fraction form
    7,570/11,391 = 11,391/x
  3. Step 3: Cross multiply
    7,570x = 11,391 × 11,391
  4. Step 4: Simplify right side
    7,570x = 129,754,881
  5. Step 5: Solve for x
    x = 129,754,881/7,570
  6. Step 6: Final answer
    x = 17,140.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.