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Finding the Third Proportional to 27,951 and 59,031.75

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Solution

The third proportional to 27,951 and 59,031.75 is: 124,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951 : 59,031.75 = 59,031.75 : x
  2. Step 2: Convert to fraction form
    27,951/59,031.75 = 59,031.75/x
  3. Step 3: Cross multiply
    27,951x = 59,031.75 × 59,031.75
  4. Step 4: Simplify right side
    27,951x = 3,484,747,508.06
  5. Step 5: Solve for x
    x = 3,484,747,508.06/27,951
  6. Step 6: Final answer
    x = 124,673.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.