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Finding the Third Proportional to 7,640 and 9,572

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Solution

The third proportional to 7,640 and 9,572 is: 11,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640 : 9,572 = 9,572 : x
  2. Step 2: Convert to fraction form
    7,640/9,572 = 9,572/x
  3. Step 3: Cross multiply
    7,640x = 9,572 × 9,572
  4. Step 4: Simplify right side
    7,640x = 91,623,184
  5. Step 5: Solve for x
    x = 91,623,184/7,640
  6. Step 6: Final answer
    x = 11,992.56

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.