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Finding the Third Proportional to 28,292 and 66,062

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Solution

The third proportional to 28,292 and 66,062 is: 154,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,292 : 66,062 = 66,062 : x
  2. Step 2: Convert to fraction form
    28,292/66,062 = 66,062/x
  3. Step 3: Cross multiply
    28,292x = 66,062 × 66,062
  4. Step 4: Simplify right side
    28,292x = 4,364,187,844
  5. Step 5: Solve for x
    x = 4,364,187,844/28,292
  6. Step 6: Final answer
    x = 154,255.19

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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.