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Finding the Third Proportional to 27,557 and 59,786

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Solution

The third proportional to 27,557 and 59,786 is: 129,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,557 : 59,786 = 59,786 : x
  2. Step 2: Convert to fraction form
    27,557/59,786 = 59,786/x
  3. Step 3: Cross multiply
    27,557x = 59,786 × 59,786
  4. Step 4: Simplify right side
    27,557x = 3,574,365,796
  5. Step 5: Solve for x
    x = 3,574,365,796/27,557
  6. Step 6: Final answer
    x = 129,708.09

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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.