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Finding the Third Proportional to 27,730 and 59,764

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Solution

The third proportional to 27,730 and 59,764 is: 128,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 59,764 = 59,764 : x
  2. Step 2: Convert to fraction form
    27,730/59,764 = 59,764/x
  3. Step 3: Cross multiply
    27,730x = 59,764 × 59,764
  4. Step 4: Simplify right side
    27,730x = 3,571,735,696
  5. Step 5: Solve for x
    x = 3,571,735,696/27,730
  6. Step 6: Final answer
    x = 128,804.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.