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Finding the Third Proportional to 27,045 and 58,653.75

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Solution

The third proportional to 27,045 and 58,653.75 is: 127,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045 : 58,653.75 = 58,653.75 : x
  2. Step 2: Convert to fraction form
    27,045/58,653.75 = 58,653.75/x
  3. Step 3: Cross multiply
    27,045x = 58,653.75 × 58,653.75
  4. Step 4: Simplify right side
    27,045x = 3,440,262,389.06
  5. Step 5: Solve for x
    x = 3,440,262,389.06/27,045
  6. Step 6: Final answer
    x = 127,205.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.