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Finding the Third Proportional to 7,572 and 11,326

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Solution

The third proportional to 7,572 and 11,326 is: 16,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572 : 11,326 = 11,326 : x
  2. Step 2: Convert to fraction form
    7,572/11,326 = 11,326/x
  3. Step 3: Cross multiply
    7,572x = 11,326 × 11,326
  4. Step 4: Simplify right side
    7,572x = 128,278,276
  5. Step 5: Solve for x
    x = 128,278,276/7,572
  6. Step 6: Final answer
    x = 16,941.14

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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.