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Finding the Third Proportional to 11,292 and 26,378.25

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Solution

The third proportional to 11,292 and 26,378.25 is: 61,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292 : 26,378.25 = 26,378.25 : x
  2. Step 2: Convert to fraction form
    11,292/26,378.25 = 26,378.25/x
  3. Step 3: Cross multiply
    11,292x = 26,378.25 × 26,378.25
  4. Step 4: Simplify right side
    11,292x = 695,812,073.06
  5. Step 5: Solve for x
    x = 695,812,073.06/11,292
  6. Step 6: Final answer
    x = 61,619.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.