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Finding the Third Proportional to 27,177.75 and 42,954.75

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Solution

The third proportional to 27,177.75 and 42,954.75 is: 67,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.75 : 42,954.75 = 42,954.75 : x
  2. Step 2: Convert to fraction form
    27,177.75/42,954.75 = 42,954.75/x
  3. Step 3: Cross multiply
    27,177.75x = 42,954.75 × 42,954.75
  4. Step 4: Simplify right side
    27,177.75x = 1,845,110,547.56
  5. Step 5: Solve for x
    x = 1,845,110,547.56/27,177.75
  6. Step 6: Final answer
    x = 67,890.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.