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Finding the Third Proportional to 27,788 and 61,582

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Solution

The third proportional to 27,788 and 61,582 is: 136,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788 : 61,582 = 61,582 : x
  2. Step 2: Convert to fraction form
    27,788/61,582 = 61,582/x
  3. Step 3: Cross multiply
    27,788x = 61,582 × 61,582
  4. Step 4: Simplify right side
    27,788x = 3,792,342,724
  5. Step 5: Solve for x
    x = 3,792,342,724/27,788
  6. Step 6: Final answer
    x = 136,474.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.