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Finding the Third Proportional to 27,232 and 58,240

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Solution

The third proportional to 27,232 and 58,240 is: 124,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 58,240 = 58,240 : x
  2. Step 2: Convert to fraction form
    27,232/58,240 = 58,240/x
  3. Step 3: Cross multiply
    27,232x = 58,240 × 58,240
  4. Step 4: Simplify right side
    27,232x = 3,391,897,600
  5. Step 5: Solve for x
    x = 3,391,897,600/27,232
  6. Step 6: Final answer
    x = 124,555.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.