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Finding the Third Proportional to 27,298 and 58,970

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Solution

The third proportional to 27,298 and 58,970 is: 127,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298 : 58,970 = 58,970 : x
  2. Step 2: Convert to fraction form
    27,298/58,970 = 58,970/x
  3. Step 3: Cross multiply
    27,298x = 58,970 × 58,970
  4. Step 4: Simplify right side
    27,298x = 3,477,460,900
  5. Step 5: Solve for x
    x = 3,477,460,900/27,298
  6. Step 6: Final answer
    x = 127,388.85

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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.