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Finding the Third Proportional to 27,594.75 and 42,717.75

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Solution

The third proportional to 27,594.75 and 42,717.75 is: 66,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.75 : 42,717.75 = 42,717.75 : x
  2. Step 2: Convert to fraction form
    27,594.75/42,717.75 = 42,717.75/x
  3. Step 3: Cross multiply
    27,594.75x = 42,717.75 × 42,717.75
  4. Step 4: Simplify right side
    27,594.75x = 1,824,806,165.06
  5. Step 5: Solve for x
    x = 1,824,806,165.06/27,594.75
  6. Step 6: Final answer
    x = 66,128.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.