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Finding the Third Proportional to 28,238 and 65,653

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Solution

The third proportional to 28,238 and 65,653 is: 152,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238 : 65,653 = 65,653 : x
  2. Step 2: Convert to fraction form
    28,238/65,653 = 65,653/x
  3. Step 3: Cross multiply
    28,238x = 65,653 × 65,653
  4. Step 4: Simplify right side
    28,238x = 4,310,316,409
  5. Step 5: Solve for x
    x = 4,310,316,409/28,238
  6. Step 6: Final answer
    x = 152,642.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.