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Finding the Third Proportional to 27,552 and 59,778

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Solution

The third proportional to 27,552 and 59,778 is: 129,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552 : 59,778 = 59,778 : x
  2. Step 2: Convert to fraction form
    27,552/59,778 = 59,778/x
  3. Step 3: Cross multiply
    27,552x = 59,778 × 59,778
  4. Step 4: Simplify right side
    27,552x = 3,573,409,284
  5. Step 5: Solve for x
    x = 3,573,409,284/27,552
  6. Step 6: Final answer
    x = 129,696.91

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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.