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Finding the Third Proportional to 27,140 and 58,888

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Solution

The third proportional to 27,140 and 58,888 is: 127,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140 : 58,888 = 58,888 : x
  2. Step 2: Convert to fraction form
    27,140/58,888 = 58,888/x
  3. Step 3: Cross multiply
    27,140x = 58,888 × 58,888
  4. Step 4: Simplify right side
    27,140x = 3,467,796,544
  5. Step 5: Solve for x
    x = 3,467,796,544/27,140
  6. Step 6: Final answer
    x = 127,774.38

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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.